for Journals by Title or ISSN
for Articles by Keywords
help
  Subjects -> BUSINESS AND ECONOMICS (Total: 3251 journals)
    - ACCOUNTING (100 journals)
    - BANKING AND FINANCE (275 journals)
    - BUSINESS AND ECONOMICS (1195 journals)
    - CONSUMER EDUCATION AND PROTECTION (23 journals)
    - COOPERATIVES (4 journals)
    - ECONOMIC SCIENCES: GENERAL (183 journals)
    - ECONOMIC SYSTEMS, THEORIES AND HISTORY (196 journals)
    - FASHION AND CONSUMER TRENDS (13 journals)
    - HUMAN RESOURCES (96 journals)
    - INSURANCE (26 journals)
    - INTERNATIONAL COMMERCE (131 journals)
    - INTERNATIONAL DEVELOPMENT AND AID (87 journals)
    - INVESTMENTS (22 journals)
    - LABOR AND INDUSTRIAL RELATIONS (45 journals)
    - MACROECONOMICS (16 journals)
    - MANAGEMENT (543 journals)
    - MARKETING AND PURCHASING (95 journals)
    - MICROECONOMICS (24 journals)
    - PRODUCTION OF GOODS AND SERVICES (139 journals)
    - PUBLIC FINANCE, TAXATION (36 journals)
    - TRADE AND INDUSTRIAL DIRECTORIES (2 journals)

BUSINESS AND ECONOMICS (1195 journals)                  1 2 3 4 5 6 | Last

Showing 1 - 200 of 1566 Journals sorted alphabetically
4OR: A Quarterly Journal of Operations Research     Hybrid Journal   (Followers: 10)
Abacus     Hybrid Journal   (Followers: 13)
Accounting Forum     Hybrid Journal   (Followers: 25)
Acta Amazonica     Open Access   (Followers: 5)
Acta Commercii     Open Access   (Followers: 4)
Acta Oeconomica     Full-text available via subscription   (Followers: 2)
Acta Scientiarum. Human and Social Sciences     Open Access   (Followers: 8)
Acta Universitatis Danubius. Œconomica     Open Access   (Followers: 3)
Acta Universitatis Nicolai Copernici Zarządzanie     Open Access   (Followers: 4)
AD-minister     Open Access   (Followers: 3)
Admisi dan Bisnis     Open Access  
ADR Bulletin     Open Access   (Followers: 5)
Advances in Developing Human Resources     Hybrid Journal   (Followers: 23)
Advances in Economics and Business     Open Access   (Followers: 13)
AfricaGrowth Agenda     Full-text available via subscription   (Followers: 1)
African Affairs     Hybrid Journal   (Followers: 65)
African Development Review     Hybrid Journal   (Followers: 36)
African Journal of Business and Economic Research     Full-text available via subscription   (Followers: 3)
African Journal of Business Ethics     Open Access   (Followers: 6)
African Review of Economics and Finance     Open Access   (Followers: 3)
Afro-Asian Journal of Finance and Accounting     Hybrid Journal   (Followers: 7)
Afyon Kocatepe Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi     Open Access   (Followers: 3)
Agronomy     Open Access   (Followers: 10)
Akademika : Journal of Southeast Asia Social Sciences and Humanities     Open Access   (Followers: 7)
Alphanumeric Journal : The Journal of Operations Research, Statistics, Econometrics and Management Information Systems     Open Access   (Followers: 5)
American Economic Journal : Applied Economics     Full-text available via subscription   (Followers: 175)
American Enterprise Institute     Free  
American Journal of Business     Hybrid Journal   (Followers: 17)
American Journal of Business and Management     Open Access   (Followers: 53)
American Journal of Business Education     Open Access   (Followers: 12)
American Journal of Economics and Business Administration     Open Access   (Followers: 26)
American Journal of Economics and Sociology     Hybrid Journal   (Followers: 30)
American Journal of Evaluation     Hybrid Journal   (Followers: 14)
American Journal of Finance and Accounting     Hybrid Journal   (Followers: 21)
American Journal of Health Economics     Full-text available via subscription   (Followers: 13)
American Journal of Industrial and Business Management     Open Access   (Followers: 23)
American Journal of Medical Quality     Hybrid Journal   (Followers: 7)
American Law and Economics Review     Hybrid Journal   (Followers: 27)
ANALES de la Universidad Central del Ecuador     Open Access   (Followers: 3)
Annales de l'Institut Henri Poincare (C) Non Linear Analysis     Full-text available via subscription   (Followers: 1)
Annals in Social Responsibility     Full-text available via subscription  
Annals of Finance     Hybrid Journal   (Followers: 29)
Annals of Operations Research     Hybrid Journal   (Followers: 10)
Annual Review of Economics     Full-text available via subscription   (Followers: 32)
Anuario Facultad de Ciencias Económicas y Empresariales     Open Access   (Followers: 2)
Applied Developmental Science     Hybrid Journal   (Followers: 3)
Applied Economics     Hybrid Journal   (Followers: 42)
Applied Economics Letters     Hybrid Journal   (Followers: 29)
Applied Economics Quarterly     Full-text available via subscription   (Followers: 9)
Applied Financial Economics     Hybrid Journal   (Followers: 25)
Applied Mathematical Finance     Hybrid Journal   (Followers: 8)
Applied Stochastic Models in Business and Industry     Hybrid Journal   (Followers: 6)
Arab Economic and Business Journal     Open Access   (Followers: 4)
Archives of Business Research     Open Access   (Followers: 6)
Arena Journal     Full-text available via subscription   (Followers: 1)
Argomenti. Rivista di economia, cultura e ricerca sociale     Open Access   (Followers: 4)
ASEAN Economic Bulletin     Full-text available via subscription   (Followers: 5)
Asia Pacific Business Review     Hybrid Journal   (Followers: 7)
Asia Pacific Journal of Human Resources     Hybrid Journal   (Followers: 320)
Asia Pacific Journal of Innovation and Entrepreneurship     Open Access  
Asia Pacific Viewpoint     Hybrid Journal   (Followers: 1)
Asia-Pacific Journal of Business Administration     Hybrid Journal   (Followers: 5)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asia-Pacific Management and Business Application     Open Access   (Followers: 1)
Asian Business Review     Open Access   (Followers: 3)
Asian Case Research Journal     Hybrid Journal   (Followers: 1)
Asian Development Review     Open Access   (Followers: 13)
Asian Economic Journal     Hybrid Journal   (Followers: 8)
Asian Economic Papers     Hybrid Journal   (Followers: 7)
Asian Economic Policy Review     Hybrid Journal   (Followers: 4)
Asian Journal of Accounting and Governance     Open Access   (Followers: 3)
Asian Journal of Business Ethics     Hybrid Journal   (Followers: 9)
Asian Journal of Social Sciences and Management Studies     Open Access   (Followers: 7)
Asian Journal of Sustainability and Social Responsibility     Open Access   (Followers: 1)
Asian Journal of Technology Innovation     Hybrid Journal   (Followers: 8)
Asian-pacific Economic Literature     Hybrid Journal   (Followers: 5)
AStA Wirtschafts- und Sozialstatistisches Archiv     Hybrid Journal   (Followers: 5)
ATA Journal of Legal Tax Research     Full-text available via subscription   (Followers: 4)
Atlantic Economic Journal     Hybrid Journal   (Followers: 11)
Australasian Journal of Regional Studies, The     Full-text available via subscription   (Followers: 1)
Australian Cottongrower, The     Full-text available via subscription   (Followers: 1)
Australian Economic Papers     Hybrid Journal   (Followers: 32)
Australian Economic Review     Hybrid Journal   (Followers: 3)
Australian Journal of Maritime and Ocean Affairs     Hybrid Journal   (Followers: 9)
Balkan Region Conference on Engineering and Business Education     Open Access   (Followers: 1)
Baltic Journal of Real Estate Economics and Construction Management     Open Access   (Followers: 2)
Banks in Insurance Report     Hybrid Journal   (Followers: 1)
BBR - Brazilian Business Review     Open Access   (Followers: 4)
Benchmarking : An International Journal     Hybrid Journal   (Followers: 10)
Benefit : Jurnal Manajemen dan Bisnis     Open Access   (Followers: 1)
BER : Consumer Confidence Survey     Full-text available via subscription   (Followers: 3)
BER : Economic Prospects : An Executive Summary     Full-text available via subscription  
BER : Economic Prospects : Full Survey     Full-text available via subscription   (Followers: 1)
BER : Intermediate Goods Industries Survey     Full-text available via subscription  
BER : Manufacturing Survey : Full Survey     Full-text available via subscription   (Followers: 1)
BER : Motor Trade Survey     Full-text available via subscription  
BER : Retail Sector Survey     Full-text available via subscription   (Followers: 1)
BER : Retail Survey : Full Survey     Full-text available via subscription   (Followers: 1)
BER : Survey of Business Conditions in Building and Construction : An Executive Summary     Full-text available via subscription   (Followers: 3)
BER : Survey of Business Conditions in Manufacturing : An Executive Summary     Full-text available via subscription   (Followers: 2)
BER : Survey of Business Conditions in Retail : An Executive Summary     Full-text available via subscription   (Followers: 3)
BER : Trends : Full Survey     Full-text available via subscription   (Followers: 1)
BER : Wholesale Sector Survey     Full-text available via subscription  
Berkeley Business Law Journal     Free   (Followers: 9)
Bio-based and Applied Economics     Open Access   (Followers: 1)
Biodegradation     Hybrid Journal   (Followers: 1)
Biology Direct     Open Access   (Followers: 7)
BizInfo (Blace) Journal of Economics, Management and Informatics     Open Access  
Black Enterprise     Full-text available via subscription  
Board & Administrator for Administrators only     Hybrid Journal  
Boletim Técnico do Senac     Open Access  
Border Crossing : Transnational Working Papers     Open Access   (Followers: 4)
Briefings in Real Estate Finance     Hybrid Journal   (Followers: 5)
British Journal of Industrial Relations     Hybrid Journal   (Followers: 36)
Brookings Papers on Economic Activity     Open Access   (Followers: 46)
Brookings Trade Forum     Full-text available via subscription   (Followers: 3)
BRQ Business Research Quarterly     Open Access   (Followers: 2)
Building Sustainable Legacies : The New Frontier Of Societal Value Co-Creation     Full-text available via subscription   (Followers: 1)
Bulletin of Economic Research     Hybrid Journal   (Followers: 17)
Bulletin of Geography. Socio-economic Series     Open Access   (Followers: 5)
Bulletin of Indonesian Economic Studies     Hybrid Journal   (Followers: 3)
Bulletin of the Dnipropetrovsk University. Series : Management of Innovations     Open Access   (Followers: 1)
Business & Entrepreneurship Journal     Open Access   (Followers: 19)
Business & Information Systems Engineering     Hybrid Journal   (Followers: 4)
Business & Society     Hybrid Journal   (Followers: 10)
Business : Theory and Practice / Verslas : Teorija ir Praktika     Open Access   (Followers: 1)
Business and Economic Research     Open Access   (Followers: 7)
Business and Management Horizons     Open Access   (Followers: 12)
Business and Management Research     Open Access   (Followers: 18)
Business and Management Studies     Open Access   (Followers: 11)
Business and Politics     Hybrid Journal   (Followers: 8)
Business and Professional Communication Quarterly     Hybrid Journal   (Followers: 7)
Business and Society Review     Hybrid Journal   (Followers: 5)
Business Economics     Hybrid Journal   (Followers: 9)
Business Ethics Quarterly     Full-text available via subscription   (Followers: 13)
Business Ethics: A European Review     Hybrid Journal   (Followers: 18)
Business Horizons     Hybrid Journal   (Followers: 8)
Business Information Review     Hybrid Journal   (Followers: 14)
Business Management and Strategy     Open Access   (Followers: 41)
Business Research     Hybrid Journal   (Followers: 2)
Business Strategy and the Environment     Hybrid Journal   (Followers: 13)
Business Strategy Review     Hybrid Journal   (Followers: 7)
Business Strategy Series     Hybrid Journal   (Followers: 6)
Business Systems & Economics     Open Access   (Followers: 2)
Business Systems Research Journal     Open Access   (Followers: 5)
Business, Management and Education     Open Access   (Followers: 17)
Business, Peace and Sustainable Development     Full-text available via subscription   (Followers: 3)
Bustan     Hybrid Journal  
Cadernos EBAPE.BR     Open Access   (Followers: 1)
Cambridge Journal of Economics     Hybrid Journal   (Followers: 61)
Cambridge Journal of Regions, Economy and Society     Hybrid Journal   (Followers: 10)
Canadian Journal of Administrative Sciences / Revue Canadienne des Sciences de l Administration     Hybrid Journal   (Followers: 1)
Canadian Journal of Economics/Revue Canadienne d`Economique     Hybrid Journal   (Followers: 29)
Canadian journal of nonprofit and social economy research     Open Access   (Followers: 2)
Capitalism and Society     Hybrid Journal   (Followers: 2)
Capitalism Nature Socialism     Hybrid Journal   (Followers: 17)
Case Studies in Business and Management     Open Access   (Followers: 10)
CBU International Conference Proceedings     Open Access   (Followers: 3)
Central European Business Review     Open Access   (Followers: 1)
Central European Journal of Operations Research     Hybrid Journal   (Followers: 5)
Central European Journal of Public Policy     Open Access   (Followers: 2)
CESifo Economic Studies     Hybrid Journal   (Followers: 17)
Chain Reaction     Full-text available via subscription  
Challenge     Full-text available via subscription   (Followers: 4)
China & World Economy     Hybrid Journal   (Followers: 15)
China : An International Journal     Full-text available via subscription   (Followers: 19)
China Economic Journal: The Official Journal of the China Center for Economic Research (CCER) at Peking University     Hybrid Journal   (Followers: 13)
China Economic Review     Hybrid Journal   (Followers: 10)
China Finance Review International     Hybrid Journal   (Followers: 5)
China Nonprofit Review     Hybrid Journal   (Followers: 3)
China perspectives     Open Access   (Followers: 12)
Chinese Economy     Full-text available via subscription  
Ciência & Saúde Coletiva     Open Access   (Followers: 2)
CLIO América     Open Access   (Followers: 1)
Cliometrica     Hybrid Journal   (Followers: 4)
COEPTUM     Open Access  
Community Development Journal     Hybrid Journal   (Followers: 27)
Compensation & Benefits Review     Hybrid Journal   (Followers: 7)
Competition & Change     Hybrid Journal   (Followers: 11)
Competitive Intelligence Review     Hybrid Journal   (Followers: 2)
Competitiveness Review : An International Business Journal incorporating Journal of Global Competitiveness     Hybrid Journal   (Followers: 5)
Computational Economics     Hybrid Journal   (Followers: 9)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computer Law & Security Review     Hybrid Journal   (Followers: 17)
Computers & Operations Research     Hybrid Journal   (Followers: 12)
Construction Innovation: Information, Process, Management     Hybrid Journal   (Followers: 14)
Contemporary Wales     Full-text available via subscription   (Followers: 1)
Contextus - Revista Contemporânea de Economia e Gestão     Open Access   (Followers: 1)
Contributions to Political Economy     Hybrid Journal   (Followers: 5)
Corporate Communications An International Journal     Hybrid Journal   (Followers: 7)
Corporate Philanthropy Report     Hybrid Journal   (Followers: 2)
Corporate Reputation Review     Hybrid Journal   (Followers: 5)
Creative and Knowledge Society     Open Access   (Followers: 9)
Creative Industries Journal     Hybrid Journal   (Followers: 8)
CRIS - Bulletin of the Centre for Research and Interdisciplinary Study     Open Access   (Followers: 1)
Crossing the Border : International Journal of Interdisciplinary Studies     Open Access   (Followers: 5)
Cuadernos de Administración (Universidad del Valle)     Open Access   (Followers: 2)
Cuadernos de Economía     Open Access   (Followers: 2)
Cuadernos de Economia - Latin American Journal of Economics     Open Access   (Followers: 2)
Cuadernos de Estudios Empresariales     Open Access   (Followers: 2)

        1 2 3 4 5 6 | Last

Journal Cover Annales de l'Institut Henri Poincare (C) Non Linear Analysis
  [SJR: 2.558]   [H-I: 46]   [1 followers]  Follow
    
   Full-text available via subscription Subscription journal
   ISSN (Print) 0294-1449
   Published by Elsevier Homepage  [3175 journals]
  • Hölder estimates for fractional parabolic equations with critical
           divergence free drifts
    • Authors: Matías G. Delgadino; Scott Smith
      Pages: 577 - 604
      Abstract: Publication date: May–June 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 3
      Author(s): Matías G. Delgadino, Scott Smith
      This work focuses on drift-diffusion equations with fractional dissipation ( − Δ ) α in the regime α ∈ ( 1 / 2 , 1 ) . Our main result is an a priori Hölder estimate on smooth solutions to the Cauchy problem, starting from initial data with finite energy. We prove that for some β ∈ ( 0 , 1 ) , the C β norm of the solution depends only on the size of the drift in critical spaces of the form L t q ( BMO x − γ ) with q > 2 and γ ∈ ( 0 , 2 α − 1 ] , along with the L x 2 norm of the initial datum. The proof uses the Caffarelli/Vasseur variant of De Giorgi's method for non-local equations.

      PubDate: 2018-04-15T21:17:10Z
      DOI: 10.1016/j.anihpc.2017.06.004
       
  • Partial data inverse problems for Maxwell equations via Carleman estimates
    • Authors: Francis J. Chung; Petri Ola; Mikko Salo; Leo Tzou
      Pages: 605 - 624
      Abstract: Publication date: May–June 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 3
      Author(s): Francis J. Chung, Petri Ola, Mikko Salo, Leo Tzou
      In this article we consider an inverse boundary value problem for the time-harmonic Maxwell equations. We show that the electromagnetic material parameters are determined by boundary measurements where part of the boundary data is measured on a possibly very small set. This is an extension of earlier scalar results of Bukhgeim–Uhlmann and Kenig–Sjöstrand–Uhlmann to the Maxwell system. The main contribution is to show that the Carleman estimate approach to scalar partial data inverse problems introduced in those works can be carried over to the Maxwell system.

      PubDate: 2018-04-15T21:17:10Z
      DOI: 10.1016/j.anihpc.2017.06.005
       
  • Global a priori estimates for the inhomogeneous Landau equation with
           moderately soft potentials
    • Authors: Stephen Cameron; Luis Silvestre; Stanley Snelson
      Pages: 625 - 642
      Abstract: Publication date: May–June 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 3
      Author(s): Stephen Cameron, Luis Silvestre, Stanley Snelson
      We establish a priori upper bounds for solutions to the spatially inhomogeneous Landau equation in the case of moderately soft potentials, with arbitrary initial data, under the assumption that mass, energy and entropy densities stay under control. Our pointwise estimates decay polynomially in the velocity variable. We also show that if the initial data satisfies a Gaussian upper bound, this bound is propagated for all positive times.

      PubDate: 2018-04-15T21:17:10Z
      DOI: 10.1016/j.anihpc.2017.07.001
       
  • Well-posedness and exponential equilibration of a volume-surface
           reaction–diffusion system with nonlinear boundary coupling
    • Authors: Klemens Fellner; Evangelos Latos; Bao Quoc Tang
      Pages: 643 - 673
      Abstract: Publication date: May–June 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 3
      Author(s): Klemens Fellner, Evangelos Latos, Bao Quoc Tang
      We consider a model system consisting of two reaction–diffusion equations, where one species diffuses in a volume while the other species diffuses on the surface which surrounds the volume. The two equations are coupled via a nonlinear reversible Robin-type boundary condition for the volume species and a matching reversible source term for the boundary species. As a consequence of the coupling, the total mass of the two species is conserved. The considered system is motivated for instance by models for asymmetric stem cell division. Firstly we prove the existence of a unique weak solution via an iterative method of converging upper and lower solutions to overcome the difficulties of the nonlinear boundary terms. Secondly, our main result shows explicit exponential convergence to equilibrium via an entropy method after deriving a suitable entropy entropy-dissipation estimate for the considered nonlinear volume-surface reaction–diffusion system.

      PubDate: 2018-04-15T21:17:10Z
      DOI: 10.1016/j.anihpc.2017.07.002
       
  • Hessian surfaces and local Lagrangian embeddings
    • Authors: Qing Han; Guofang Wang
      Pages: 675 - 685
      Abstract: Publication date: May–June 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 3
      Author(s): Qing Han, Guofang Wang
      In this paper we prove that any smooth surfaces can be locally isometrically embedded into C 2 as Lagrangian surfaces. As a byproduct we obtain that any smooth surfaces are Hessian surfaces.

      PubDate: 2018-04-15T21:17:10Z
      DOI: 10.1016/j.anihpc.2017.07.003
       
  • Constructing center-stable tori
    • Authors: Andy Hammerlindl
      Pages: 713 - 728
      Abstract: Publication date: May–June 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 3
      Author(s): Andy Hammerlindl
      We show that certain derived-from-Anosov diffeomorphisms on the 2-torus may be realized as the dynamics on a center-stable or center-unstable torus of a 3-dimensional strongly partially hyperbolic system. We also construct examples of center-stable and center-unstable tori in higher dimensions.

      PubDate: 2018-04-15T21:17:10Z
      DOI: 10.1016/j.anihpc.2017.07.005
       
  • Weak solutions of semilinear elliptic equation involving Dirac mass
    • Authors: Huyuan Chen; Patricio Felmer; Jianfu Yang
      Pages: 729 - 750
      Abstract: Publication date: May–June 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 3
      Author(s): Huyuan Chen, Patricio Felmer, Jianfu Yang
      In this paper, we study the elliptic problem with Dirac mass (1) { − Δ u = V u p + k δ 0 in R N , lim x → + ∞ ⁡ u ( x ) = 0 , where N > 2 , p > 0 , k > 0 , δ 0 is the Dirac mass at the origin and the potential V is locally Lipchitz continuous in R N ∖ { 0 } , with non-empty support and satisfying 0 ≤ V ( x ) ≤ σ 1 x a 0 ( 1 + x a ∞ − a 0 ) , with a 0 < N , a 0 < a ∞ and σ 1 > 0 . We obtain two positive solutions of (1) with additional conditions for parameters on a ∞ , a 0 , p and k. The first solution is a minimal positive solution and the second solution is constructed via Mountain Pass Theorem.

      PubDate: 2018-04-15T21:17:10Z
      DOI: 10.1016/j.anihpc.2017.08.001
       
  • Boundary observability of gravity water waves
    • Authors: Thomas Alazard
      Pages: 751 - 779
      Abstract: Publication date: May–June 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 3
      Author(s): Thomas Alazard
      Consider a three-dimensional fluid in a rectangular tank, bounded by a flat bottom, vertical walls and a free surface evolving under the influence of gravity. We prove that one can estimate its energy by looking only at the motion of the points of contact between the free surface and the vertical walls. The proof relies on the multiplier technique, the Craig–Sulem–Zakharov formulation of the water-wave problem, a Pohozaev identity for the Dirichlet to Neumann operator, previous results about the Cauchy problem and computations inspired by the analysis done by Benjamin and Olver of the conservation laws for water waves.

      PubDate: 2018-04-15T21:17:10Z
      DOI: 10.1016/j.anihpc.2017.07.006
       
  • A classification result for the quasi-linear Liouville equation
    • Authors: Pierpaolo Esposito
      Pages: 781 - 801
      Abstract: Publication date: May–June 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 3
      Author(s): Pierpaolo Esposito
      Entire solutions of the n-Laplace Liouville equation in R n with finite mass are completely classified.

      PubDate: 2018-04-15T21:17:10Z
      DOI: 10.1016/j.anihpc.2017.08.002
       
  • On the asymptotic growth of positive solutions to a nonlocal elliptic
           blow-up system involving strong competition
    • Authors: Susanna Terracini; Stefano Vita
      Pages: 831 - 858
      Abstract: Publication date: May–June 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 3
      Author(s): Susanna Terracini, Stefano Vita
      For a competition-diffusion system involving the fractional Laplacian of the form − ( − Δ ) s u = u v 2 , − ( − Δ ) s v = v u 2 , u , v > 0 in R N , with s ∈ ( 0 , 1 ) , we prove that the maximal asymptotic growth rate for its entire solutions is 2s. Moreover, since we are able to construct symmetric solutions to the problem, when N = 2 with prescribed growth arbitrarily close to the critical one, we can conclude that the asymptotic bound found is optimal. Finally, we prove existence of genuinely higher dimensional solutions, when N ≥ 3 . Such problems arise, for example, as blow-ups of fractional reaction-diffusion systems when the interspecific competition rate tends to infinity.

      PubDate: 2018-04-15T21:17:10Z
      DOI: 10.1016/j.anihpc.2017.08.004
       
  • Existence of a minimal non-scattering solution to the mass-subcritical
           generalized Korteweg–de Vries equation
    • Authors: Satoshi Masaki; Jun-ichi Segata
      Pages: 283 - 326
      Abstract: Publication date: March–April 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 2
      Author(s): Satoshi Masaki, Jun-ichi Segata
      In this article, we prove the existence of a non-scattering solution, which is minimal in some sense, to the mass-subcritical generalized Korteweg–de Vries (gKdV) equation in the scale critical L ˆ r space where L ˆ r = { f ∈ S ′ ( R ) ‖ f ‖ L ˆ r = ‖ f ˆ ‖ L r ′ < ∞ } . We construct this solution by a concentration compactness argument. Then, key ingredients are a linear profile decomposition result adopted to L ˆ r -framework and approximation of solutions to the gKdV equation which involves rapid linear oscillation by means of solutions to the nonlinear Schrödinger equation.

      PubDate: 2018-02-25T15:19:02Z
      DOI: 10.1016/j.anihpc.2017.04.003
       
  • Symplectic factorization, Darboux theorem and ellipticity
    • Authors: B. Dacorogna; W. Gangbo; O. Kneuss
      Pages: 327 - 356
      Abstract: Publication date: March–April 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 2
      Author(s): B. Dacorogna, W. Gangbo, O. Kneuss
      This manuscript identifies a maximal system of equations which renders the classical Darboux problem elliptic, thereby providing a selection criterion for its well posedness. Let f be a symplectic form close enough to ω m , the standard symplectic form on R 2 m . We prove existence of a diffeomorphism φ, with optimal regularity, satisfying φ ⁎ ( ω m ) = f and 〈 d φ ♭ ; ω m 〉 = 0 . We establish uniqueness of φ when the system is coupled with a Dirichlet datum. As a byproduct, we obtain, what we term symplectic factorization of vector fields, that any map u, satisfying appropriate assumptions, can be factored as: u = χ ∘ ψ with ψ ⁎ ( ω m ) = ω m , 〈 d χ ♭ ; ω m 〉 = 0 and ∇ χ + ( ∇ χ ) t > 0 ; moreover there exists a closed 2-form Φ such that χ = ( δ Φ ⌟ ω m ) ♯ . Here, ♯ is the musical isomorphism and ♭ its inverse. We connect the above result to an L 2 -projection problem.

      PubDate: 2018-02-25T15:19:02Z
      DOI: 10.1016/j.anihpc.2017.04.005
       
  • Doubly nonlocal Cahn–Hilliard equations
    • Authors: Ciprian G. Gal
      Pages: 357 - 392
      Abstract: Publication date: March–April 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 2
      Author(s): Ciprian G. Gal
      We consider a doubly nonlocal nonlinear parabolic equation which describes phase-segregation of a two-component material in a bounded domain. This model is a more general version than the recent nonlocal Cahn–Hilliard equation proposed by Giacomin and Lebowitz [26], such that it reduces to the latter under certain conditions. We establish well-posedness results along with regularity and long-time results in the case when the interaction between the two levels of nonlocality is strong-to-weak.

      PubDate: 2018-02-25T15:19:02Z
      DOI: 10.1016/j.anihpc.2017.05.001
       
  • On the scattering problem for infinitely many fermions in dimensions d≥3
           at positive temperature
    • Authors: Thomas Chen; Younghun Hong; Nataša Pavlović
      Pages: 393 - 416
      Abstract: Publication date: March–April 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 2
      Author(s): Thomas Chen, Younghun Hong, Nataša Pavlović
      In this paper, we study the dynamics of a system of infinitely many fermions in dimensions d ≥ 3 near thermal equilibrium and prove scattering in the case of small perturbation around equilibrium in a certain generalized Sobolev space of density operators. This work is a continuation of our previous paper [11], and extends the important recent result of M. Lewin and J. Sabin in [19] of a similar type for dimension d = 2 . In the work at hand, we establish new, improved Strichartz estimates that allow us to control the case d ≥ 3 .

      PubDate: 2018-02-25T15:19:02Z
      DOI: 10.1016/j.anihpc.2017.05.002
       
  • A family of degenerate elliptic operators: Maximum principle and its
           consequences
    • Authors: Isabeau Birindelli; Giulio Galise; Hitoshi Ishii
      Pages: 417 - 441
      Abstract: Publication date: March–April 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 2
      Author(s): Isabeau Birindelli, Giulio Galise, Hitoshi Ishii
      In this paper we investigate the validity and the consequences of the maximum principle for degenerate elliptic operators whose higher order term is the sum of k eigenvalues of the Hessian. In particular we shed some light on some very unusual phenomena due to the degeneracy of the operator. We prove moreover Lipschitz regularity results and boundary estimates under convexity assumptions on the domain. As a consequence we obtain the existence of solutions of the Dirichlet problem and of principal eigenfunctions.

      PubDate: 2018-02-25T15:19:02Z
      DOI: 10.1016/j.anihpc.2017.05.003
       
  • Mean field games with congestion
    • Authors: Yves Achdou; Alessio Porretta
      Pages: 443 - 480
      Abstract: Publication date: March–April 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 2
      Author(s): Yves Achdou, Alessio Porretta
      We consider a class of systems of time dependent partial differential equations which arise in mean field type models with congestion. The systems couple a backward viscous Hamilton–Jacobi equation and a forward Kolmogorov equation both posed in ( 0 , T ) × ( R N / Z N ) . Because of congestion and by contrast with simpler cases, the latter system can never be seen as the optimality conditions of an optimal control problem driven by a partial differential equation. The Hamiltonian vanishes as the density tends to +∞ and may not even be defined in the regions where the density is zero. After giving a suitable definition of weak solutions, we prove the existence and uniqueness results of the latter under rather general assumptions. No restriction is made on the horizon T.

      PubDate: 2018-02-25T15:19:02Z
      DOI: 10.1016/j.anihpc.2017.06.001
       
  • Regularity of the Eikonal equation with two vanishing entropies
    • Authors: Andrew Lorent; Guanying Peng
      Pages: 481 - 516
      Abstract: Publication date: March–April 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 2
      Author(s): Andrew Lorent, Guanying Peng
      Let Ω ⊂ R 2 be a bounded simply-connected domain. The Eikonal equation ∇ u = 1 for a function u : Ω ⊂ R 2 → R has very little regularity, examples with singularities of the gradient existing on a set of positive H 1 measure are trivial to construct. With the mild additional condition of two vanishing entropies we show ∇u is locally Lipschitz outside a locally finite set. Our condition is motivated by a well known problem in Calculus of Variations known as the Aviles–Giga problem. The two entropies we consider were introduced by Jin, Kohn [26], Ambrosio, DeLellis, Mantegazza [2] to study the Γ-limit of the Aviles–Giga functional. Formally if u satisfies the Eikonal equation and if (1) ∇ ⋅ ( Σ ˜ e 1 e 2 ( ∇ u ⊥ ) ) = 0  and  ∇ ⋅ ( Σ ˜ ϵ 1 ϵ 2 ( ∇ u ⊥ ) ) = 0  distributionally in  Ω , where Σ ˜ e 1 e 2 and Σ ˜ ϵ 1 ϵ 2 are the entropies introduced by Jin, Kohn [26], and Ambrosio, DeLellis, Mantegazza [2], then ∇u is locally Lipschitz continuous outside a locally finite set. Condition (1) is motivated by the zero energy states of the Aviles–Giga functional. The zero energy states of the Aviles–Giga functional have been characterized by Jabin, Otto, Perthame [25]. Among other results they showed that if lim n → ∞ ⁡ I ϵ n ( u n ) = 0 for some sequence u n ∈ W 0 2 , 2 ( Ω ) and u = lim n → ∞ ⁡ ...
      PubDate: 2018-02-25T15:19:02Z
      DOI: 10.1016/j.anihpc.2017.06.002
       
  • Existence and qualitative theory for stratified solitary water waves
    • Authors: Robin Ming Chen; Samuel Walsh; Miles H. Wheeler
      Pages: 517 - 576
      Abstract: Publication date: March–April 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 2
      Author(s): Robin Ming Chen, Samuel Walsh, Miles H. Wheeler
      This paper considers two-dimensional gravity solitary waves moving through a body of density stratified water lying below vacuum. The fluid domain is assumed to lie above an impenetrable flat ocean bed, while the interface between the water and vacuum is a free boundary where the pressure is constant. We prove that, for any smooth choice of upstream velocity field and density function, there exists a continuous curve of such solutions that includes large-amplitude surface waves. Furthermore, following this solution curve, one encounters waves that come arbitrarily close to possessing points of horizontal stagnation. We also provide a number of results characterizing the qualitative features of solitary stratified waves. In part, these include bounds on the wave speed from above and below, some of which are new even for constant density flow; an a priori bound on the velocity field and lower bound on the pressure; a proof of the nonexistence of monotone bores in this physical regime; and a theorem ensuring that all supercritical solitary waves of elevation have an axis of even symmetry.

      PubDate: 2018-02-25T15:19:02Z
      DOI: 10.1016/j.anihpc.2017.06.003
       
  • Analysis of miscible displacement through porous media with vanishing
           molecular diffusion and singular wells
    • Authors: Jérôme Droniou; Kyle S. Talbot
      Pages: 1 - 25
      Abstract: Publication date: January–February 2018
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 35, Issue 1
      Author(s): Jérôme Droniou, Kyle S. Talbot
      This article proves the existence of solutions to a model of incompressible miscible displacement through a porous medium, with zero molecular diffusion and modelling wells by spatial measures. We obtain the solution by passing to the limit on problems indexed by vanishing molecular diffusion coefficients. The proof employs cutoff functions to excise the supports of the measures and the discontinuities in the permeability tensor, thus enabling compensated compactness arguments used by Y. Amirat and A. Ziani for the analysis of the problem with L 2 wells (Amirat and Ziani, 2004 [1]). We give a novel treatment of the diffusion–dispersion term, which requires delicate use of the Aubin–Simon lemma to ensure the strong convergence of the pressure gradient, owing to the troublesome lower-order terms introduced by the localisation procedure.

      PubDate: 2018-02-05T13:32:55Z
      DOI: 10.1016/j.anihpc.2017.02.002
       
  • Quasistatic crack growth in 2d-linearized elasticity
    • Authors: Manuel Friedrich; Francesco Solombrino
      Pages: 27 - 64
      Abstract: Publication date: January–February 2018
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 35, Issue 1
      Author(s): Manuel Friedrich, Francesco Solombrino
      In this paper we prove a two-dimensional existence result for a variational model of crack growth for brittle materials in the realm of linearized elasticity. Starting with a time-discretized version of the evolution driven by a prescribed boundary load, we derive a time-continuous quasistatic crack growth in the framework of generalized special functions of bounded deformation ( G S B D ). As the time-discretization step tends to zero, the major difficulty lies in showing the stability of the static equilibrium condition, which is achieved by means of a Jump Transfer Lemma generalizing the result of [19] to the G S B D setting. Moreover, we present a general compactness theorem for this framework and prove existence of the evolution without imposing a-priori bounds on the displacements or applied body forces.

      PubDate: 2018-02-05T13:32:55Z
      DOI: 10.1016/j.anihpc.2017.03.002
       
  • On Lipschitz solutions for some forward–backward parabolic equations
    • Authors: Seonghak Kim; Baisheng Yan
      Pages: 65 - 100
      Abstract: Publication date: January–February 2018
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 35, Issue 1
      Author(s): Seonghak Kim, Baisheng Yan
      We investigate the existence and properties of Lipschitz solutions for some forward–backward parabolic equations in all dimensions. Our main approach to existence is motivated by reformulating such equations into partial differential inclusions and relies on a Baire's category method. In this way, the existence of infinitely many Lipschitz solutions to certain initial-boundary value problem of those equations is guaranteed under a pivotal density condition. Under this framework, we study two important cases of forward–backward anisotropic diffusion in which the density condition can be realized and therefore the existence results follow together with micro-oscillatory behavior of solutions. The first case is a generalization of the Perona–Malik model in image processing and the other that of Höllig's model related to the Clausius–Duhem inequality in the second law of thermodynamics.

      PubDate: 2018-02-05T13:32:55Z
      DOI: 10.1016/j.anihpc.2017.03.001
       
  • On the wellposedness of the KdV/KdV2 equations and their frequency maps
    • Authors: Thomas Kappeler; Jan-Cornelius Molnar
      Pages: 101 - 160
      Abstract: Publication date: January–February 2018
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 35, Issue 1
      Author(s): Thomas Kappeler, Jan-Cornelius Molnar
      In form of a case study for the KdV and the KdV2 equations, we present a novel approach of representing the frequencies of integrable PDEs which allows to extend them analytically to spaces of low regularity and to study their asymptotics. Applications include convexity properties of the Hamiltonians and wellposedness results in spaces of low regularity. In particular, it is proved that on H s the KdV2 equation is C 0 -wellposed if s ⩾ 0 and illposed (in a strong sense) if s < 0 .

      PubDate: 2018-02-05T13:32:55Z
      DOI: 10.1016/j.anihpc.2017.03.003
       
  • 3-D axisymmetric subsonic flows with nonzero swirl for the compressible
           Euler–Poisson system
    • Authors: Myoungjean Bae; Shangkun Weng
      Pages: 161 - 186
      Abstract: Publication date: January–February 2018
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 35, Issue 1
      Author(s): Myoungjean Bae, Shangkun Weng
      We address the structural stability of 3-D axisymmetric subsonic flows with nonzero swirl for the steady compressible Euler–Poisson system in a cylinder supplemented with non-small boundary data. A special Helmholtz decomposition of the velocity field is introduced for 3-D axisymmetric flow with a nonzero swirl (= angular momentum density) component. With the newly introduced decomposition, a quasilinear elliptic system of second order is derived from the elliptic modes in Euler–Poisson system for subsonic flows. Due to the nonzero swirl, the main difficulties lie in the solvability of a singular elliptic equation which concerns the angular component of the vorticity in its cylindrical representation, and in analysis of streamlines near the axis r = 0 .

      PubDate: 2018-02-05T13:32:55Z
      DOI: 10.1016/j.anihpc.2017.03.004
       
  • Minimisers of the Allen–Cahn equation and the asymptotic Plateau
           problem on hyperbolic groups
    • Authors: Mramor
      Abstract: Publication date: May–June 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 3
      Author(s): Blaž Mramor
      We investigate the existence of non-constant uniformly-bounded minimal solutions of the Allen–Cahn equation on a Gromov-hyperbolic group. We show that whenever the Laplace term in the Allen–Cahn equation is small enough, there exist minimal solutions satisfying a large class of prescribed asymptotic behaviours. For a phase field model on a hyperbolic group, such solutions describe phase transitions that asymptotically converge towards prescribed phases, given by asymptotic directions. In the spirit of de Giorgi's conjecture, we then fix an asymptotic behaviour and let the Laplace term go to zero. In the limit we obtain a solution to a corresponding asymptotic Plateau problem by Γ-convergence.

      PubDate: 2018-04-15T21:17:10Z
       
  • Resolvent and spectral measure on non-trapping asymptotically hyperbolic
           manifolds III: Global-in-time Strichartz estimates without loss
    • Authors: Chen
      Abstract: Publication date: May–June 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 3
      Author(s): Xi Chen
      In the present paper, we investigate global-in-time Strichartz estimates without loss on non-trapping asymptotically hyperbolic manifolds. Due to the hyperbolic nature of such manifolds, the set of admissible pairs for Strichartz estimates is much larger than usual. These results generalize the works on hyperbolic space due to Anker–Pierfelice and Ionescu–Staffilani. However, our approach is to employ the spectral measure estimates, obtained in the author's joint work with Hassell, to establish the dispersive estimates for truncated/microlocalized Schrödinger propagators as well as the corresponding energy estimates. Compared with hyperbolic space, the crucial point here is to cope with the conjugate points on the manifold. Additionally, these Strichartz estimates are applied to the L 2 well-posedness and L 2 scattering for nonlinear Schrödinger equations with power-like nonlinearity and small Cauchy data.

      PubDate: 2018-04-15T21:17:10Z
       
  • On bifurcation of eigenvalues along convex symplectic paths
    • Authors: Yinshan Chang; Yiming Long; Jian Wang
      Abstract: Publication date: Available online 13 April 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
      Author(s): Yinshan Chang, Yiming Long, Jian Wang
      We consider a continuously differentiable curve t ↦ γ ( t ) in the space of 2 n × 2 n real symplectic matrices, which is the solution of the following ODE: d γ d t ( t ) = J 2 n A ( t ) γ ( t ) , γ ( 0 ) ∈ Sp ( 2 n , R ) , where J = J 2 n = def [ 0 Id n − Id n 0 ] and A : t ↦ A ( t ) is a continuous path in the space of 2 n × 2 n real matrices which are symmetric. Under a certain convexity assumption (which includes the particular case that A ( t ) is strictly positive definite for all t ∈ R ), we investigate the dynamics of the eigenvalues of γ ( t ) when t varies, which are closely related to the stability of such Hamiltonian dynamical systems. We rigorously prove the qualitative behavior of the branching of eigenvalues and explicitly give the first order asymptotics of the eigenvalues. This generalizes classical Krein-Lyubarskii theorem on the analytic bifurcation of the Floquet multipliers under a linear perturbation of the Hamiltonian. As a corollary, we give a rigorous proof of the following statement of Ekeland: { t ∈ R : γ ( t )  has a Krein indefinite eigenvalue of modulus  1 } is a discrete set.

      PubDate: 2018-04-15T21:17:10Z
      DOI: 10.1016/j.anihpc.2018.04.001
       
  • Energy identity and necklessness for a sequence of Sacks-Uhlenbeck maps to
           a sphere
    • Authors: Jiayu Li; Xiangrong Zhu
      Abstract: Publication date: Available online 12 April 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
      Author(s): Jiayu Li, Xiangrong Zhu
      Let u be a map from a Riemann surface M to a Riemannian manifold N and α > 1 , the α energy functional is defined as [19] E α ( u ) = 1 2 ∫ M [ ( 1 + ▽ u 2 ) α − 1 ] d V . We call u α a sequence of Sacks-Uhlenbeck maps if u α are critical points of E α and sup α > 1 ⁡ E α ( u α ) < ∞ . In this paper, we show the energy identity and necklessness for a sequence of Sacks-Uhlenbeck maps during blowing up, if the target N is a sphere S K − 1 . The energy identity can be used to give an alternative proof of Perelman's result [15] that the Ricci flow from a compact orientable prime non-aspherical 3-dimensional manifold becomes extinct in finite time (c. f. [3,4]).

      PubDate: 2018-04-15T21:17:10Z
      DOI: 10.1016/j.anihpc.2018.04.002
       
  • Asymptotic stability of a composite wave of two viscous shock waves for
           the one-dimensional radiative Euler equations
    • Authors: Lili Fan; Lizhi Ruan; Wei Xiang
      Abstract: Publication date: Available online 9 April 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
      Author(s): Lili Fan, Lizhi Ruan, Wei Xiang
      This paper is devoted to the study of the wellposedness of the radiative Euler equations. By employing the anti-derivative method, we show the unique global-in-time existence and the asymptotic stability of the solutions of the radiative Euler equations for the composite wave of two viscous shock waves with small strength. This method developed here is also helpful to other related problems with similar analytical difficulties.

      PubDate: 2018-04-15T21:17:10Z
      DOI: 10.1016/j.anihpc.2018.03.008
       
  • Physical measures for the geodesic flow tangent to a transversally
           conformal foliation
    • Authors: Sébastien Alvarez; Jiagang Yang
      Abstract: Publication date: Available online 9 April 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
      Author(s): Sébastien Alvarez, Jiagang Yang
      We consider a transversally conformal foliation F of a closed manifold M endowed with a smooth Riemannian metric whose restriction to each leaf is negatively curved. We prove that it satisfies the following dichotomy. Either there is a transverse holonomy-invariant measure for F , or the foliated geodesic flow admits a finite number of physical measures, which have negative transverse Lyapunov exponents and whose basin covers a set full for the Lebesgue measure. We also give necessary and sufficient conditions for the foliated geodesic flow to be partially hyperbolic in the case where the foliation is transverse to a projective circle bundle over a closed hyperbolic surface.

      PubDate: 2018-04-15T21:17:10Z
      DOI: 10.1016/j.anihpc.2018.03.009
       
  • Regularity theory for the Isaacs equation through approximation methods
    • Authors: Edgard A. Pimentel
      Abstract: Publication date: Available online 9 April 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
      Author(s): Edgard A. Pimentel
      In this paper, we propose an approximation method to study the regularity of solutions to the Isaacs equation. This class of problems plays a paramount role in the regularity theory for fully nonlinear elliptic equations. First, it is a model-problem of a non-convex operator. In addition, the usual mechanisms to access regularity of solutions fall short in addressing these equations. We approximate an Isaacs equation by a Bellman one, and make assumptions on the latter to recover information for the former. Our techniques produce results in Sobolev and Hölder spaces; we also examine a few consequences of our main findings.

      PubDate: 2018-04-15T21:17:10Z
      DOI: 10.1016/j.anihpc.2018.03.010
       
  • Minnaert resonances for acoustic waves in bubbly media
    • Authors: Habib Ammari; Brian Fitzpatrick; David Gontier; Hyundae Lee; Hai Zhang
      Abstract: Publication date: Available online 9 April 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
      Author(s): Habib Ammari, Brian Fitzpatrick, David Gontier, Hyundae Lee, Hai Zhang
      Through the application of layer potential techniques and Gohberg–Sigal theory we derive an original formula for the Minnaert resonance frequencies of arbitrarily shaped bubbles. We also provide a mathematical justification for the monopole approximation of scattering of acoustic waves by bubbles at their Minnaert resonant frequency. Our results are complemented by several numerical examples which serve to validate our formula in two dimensions.

      PubDate: 2018-04-15T21:17:10Z
      DOI: 10.1016/j.anihpc.2018.03.007
       
  • The derivative nonlinear Schrödinger equation on the half line
    • Authors: M.B. Erdoğan; T.B. Gürel; N. Tzirakis
      Abstract: Publication date: Available online 9 April 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
      Author(s): M.B. Erdoğan, T.B. Gürel, N. Tzirakis
      We study the initial-boundary value problem for the derivative nonlinear Schrödinger (DNLS) equation. More precisely we study the wellposedness theory and the regularity properties of the DNLS equation on the half line. We prove almost sharp local wellposedness, nonlinear smoothing, and small data global wellposedness in the energy space. One of the obstructions is that the crucial gauge transformation we use replaces the boundary condition with a nonlocal one. We resolve this issue by running an additional fixed point argument. Our method also implies almost sharp local and small energy global wellposedness, and an improved smoothing estimate for the quintic Schrödinger equation on the half line. In the last part of the paper we consider the DNLS equation on R and prove smoothing estimates by combining the restricted norm method with a normal form transformation.

      PubDate: 2018-04-15T21:17:10Z
      DOI: 10.1016/j.anihpc.2018.03.006
       
  • The Sine-Gordon regime of the Landau–Lifshitz equation with a strong
           easy-plane anisotropy
    • Authors: André de Laire; Philippe Gravejat
      Abstract: Publication date: Available online 17 March 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
      Author(s): André de Laire, Philippe Gravejat
      It is well-known that the dynamics of biaxial ferromagnets with a strong easy-plane anisotropy is essentially governed by the Sine-Gordon equation. In this paper, we provide a rigorous justification to this observation. More precisely, we show the convergence of the solutions to the Landau–Lifshitz equation for biaxial ferromagnets towards the solutions to the Sine-Gordon equation in the regime of a strong easy-plane anisotropy. Moreover, we establish the sharpness of our convergence result. This result holds for solutions to the Landau–Lifshitz equation in high order Sobolev spaces. We first provide an alternative proof for local well-posedness in this setting by introducing high order energy quantities with better symmetrization properties. We then derive the convergence from the consistency of the Landau–Lifshitz equation with the Sine-Gordon equation by using well-tailored energy estimates. As a by-product, we also obtain a further derivation of the free wave regime of the Landau–Lifshitz equation.

      PubDate: 2018-04-15T21:17:10Z
      DOI: 10.1016/j.anihpc.2018.03.005
       
  • Robust local Hölder rigidity of circle maps with breaks
    • Authors: Konstantin Khanin; Saša Kocić
      Abstract: Publication date: Available online 7 March 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
      Author(s): Konstantin Khanin, Saša Kocić
      We prove that, for every ε ∈ ( 0 , 1 ) , every two C 2 + α -smooth ( α > 0 ) circle diffeomorphisms with a break point, i.e. circle diffeomorphisms with a single singular point where the derivative has a jump discontinuity, with the same irrational rotation number ρ ∈ ( 0 , 1 ) and the same size of the break c ∈ R + \ { 1 } , are conjugate to each other via a conjugacy which is ( 1 − ε ) -Hölder continuous at the break points. An analogous result does not hold for circle diffeomorphisms even when they are analytic.

      PubDate: 2018-04-15T21:17:10Z
      DOI: 10.1016/j.anihpc.2018.03.003
       
  • Results of Ambrosetti–Prodi type for non-selfadjoint elliptic
           operators
    • Authors: Boyan Sirakov; Carlos Tomei; André Zaccur
      Abstract: Publication date: Available online 7 March 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
      Author(s): Boyan Sirakov, Carlos Tomei, André Zaccur
      The well-known Ambrosetti–Prodi theorem considers perturbations of the Dirichlet Laplacian by a nonlinear function whose derivative jumps over the principal eigenvalue of the operator. Various extensions of this landmark result were obtained for self-adjoint operators, in particular by Berger and Podolak, who gave a geometrical description of the solution set. In this text we show that similar theorems are valid for non-self-adjoint operators. In particular, we prove that the semilinear operator is a global fold. As a consequence, we obtain what appears to be the first exact multiplicity result for elliptic equations in non-divergence form. We employ techniques based on the maximum principle.

      PubDate: 2018-04-15T21:17:10Z
      DOI: 10.1016/j.anihpc.2018.03.001
       
  • Global well-posedness of partially periodic KP-I equation in the energy
           space and application
    • Authors: Tristan Robert
      Abstract: Publication date: Available online 7 March 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
      Author(s): Tristan Robert
      In this article, we address the Cauchy problem for the KP-I equation ∂ t u + ∂ x 3 u − ∂ x − 1 ∂ y 2 u + u ∂ x u = 0 for functions periodic in y. We prove global well-posedness of this problem for any data in the energy space E = { u ∈ L 2 ( R × T ) , ∂ x u ∈ L 2 ( R × T ) , ∂ x − 1 ∂ y u ∈ L 2 ( R × T ) } . We then prove that the KdV line soliton, seen as a special solution of KP-I equation, is orbitally stable under this flow, as long as its speed is small enough.

      PubDate: 2018-04-15T21:17:10Z
      DOI: 10.1016/j.anihpc.2018.03.002
       
  • On well-posedness for some dispersive perturbations of Burgers' equation
    • Authors: Luc Molinet; Didier Pilod; Stéphane Vento
      Abstract: Publication date: Available online 21 February 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
      Author(s): Luc Molinet, Didier Pilod, Stéphane Vento
      We show that the Cauchy problem for a class of dispersive perturbations of Burgers' equations containing the low dispersion Benjamin–Ono equation ∂ t u − D x α ∂ x u = ∂ x ( u 2 ) , 0 < α ≤ 1 , is locally well-posed in H s ( R ) when s > s α : = 3 2 − 5 α 4 . As a consequence, we obtain global well-posedness in the energy space H α 2 ( R ) as soon as α 2 > s α , i.e. α > 6 7 .

      PubDate: 2018-02-25T15:19:02Z
      DOI: 10.1016/j.anihpc.2017.12.004
       
  • Isolated singularities of the prescribed mean curvature equation in
           Minkowski 3-space
    • Authors: José A. Gálvez; Asun Jiménez; Pablo Mira
      Abstract: Publication date: Available online 15 February 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
      Author(s): José A. Gálvez, Asun Jiménez, Pablo Mira
      We give a classification of non-removable isolated singularities for real analytic solutions of the prescribed mean curvature equation in Minkowski 3-space.

      PubDate: 2018-02-25T15:19:02Z
      DOI: 10.1016/j.anihpc.2018.01.004
       
  • On the Majorana condition for nonlinear Dirac systems
    • Authors: Timothy Candy; Sebastian Herr
      Abstract: Publication date: Available online 9 February 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
      Author(s): Timothy Candy, Sebastian Herr
      For arbitrarily large initial data in an open set defined by an approximate Majorana condition, global existence and scattering results for solutions to the Dirac equation with Soler-type nonlinearity and the Dirac–Klein–Gordon system in critical spaces in spatial dimension three are established.

      PubDate: 2018-02-25T15:19:02Z
      DOI: 10.1016/j.anihpc.2018.02.001
       
  • Quantization of probability distributions and gradient flows in space
           dimension 2
    • Authors: Emanuele Caglioti; François Golse; Mikaela Iacobelli
      Abstract: Publication date: Available online 2 February 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
      Author(s): Emanuele Caglioti, François Golse, Mikaela Iacobelli
      In this paper we study a perturbative approach to the problem of quantization of probability distributions in the plane. Motivated by the fact that, as the number of points tends to infinity, hexagonal lattices are asymptotically optimal from an energetic point of view [10,12,15], we consider configurations that are small perturbations of the hexagonal lattice and we show that: (1) in the limit as the number of points tends to infinity, the hexagonal lattice is a strictly minimizer of the energy; (2) the gradient flow of the limiting functional allows us to evolve any perturbed configuration to the optimal one exponentially fast. In particular, our analysis provides a new mathematical justification of the asymptotic optimality of the hexagonal lattice among its nearby configurations.

      PubDate: 2018-02-05T13:32:55Z
      DOI: 10.1016/j.anihpc.2017.12.003
       
  • Sobolev regularity for first order mean field games
    • Authors: P. Jameson Graber; Alpár R. Mészáros
      Abstract: Publication date: Available online 1 February 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
      Author(s): P. Jameson Graber, Alpár R. Mészáros
      In this paper we obtain Sobolev estimates for weak solutions of first order variational Mean Field Game systems with coupling terms that are local functions of the density variable. Under some coercivity conditions on the coupling, we obtain first order Sobolev estimates for the density variable, while under similar coercivity conditions on the Hamiltonian we obtain second order Sobolev estimates for the value function. These results are valid both for stationary and time-dependent problems. In the latter case the estimates are fully global in time, thus we resolve a question which was left open in [23]. Our methods apply to a large class of Hamiltonians and coupling functions.

      PubDate: 2018-02-05T13:32:55Z
      DOI: 10.1016/j.anihpc.2018.01.002
       
  • Lyapunov exponents of partially hyperbolic volume-preserving maps with
           2-dimensional center bundle
    • Authors: Chao Liang; Karina Marin; Jiagang Yang
      Abstract: Publication date: Available online 1 February 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
      Author(s): Chao Liang, Karina Marin, Jiagang Yang
      We consider the set of partially hyperbolic symplectic diffeomorphisms which are accessible, have 2-dimensional center bundle and satisfy some pinching and bunching conditions. In this set, we prove that the non-uniformly hyperbolic maps are C r open and there exists a C r open and dense subset of continuity points for the center Lyapunov exponents. We also generalize these results to volume-preserving systems.

      PubDate: 2018-02-05T13:32:55Z
      DOI: 10.1016/j.anihpc.2018.01.007
       
  • Global solvability of massless Dirac–Maxwell systems
    • Authors: Nicolas Ginoux; Olaf Müller
      Abstract: Publication date: Available online 1 February 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
      Author(s): Nicolas Ginoux, Olaf Müller
      We consider the Cauchy problem for massless Dirac–Maxwell equations on an asymptotically flat background and give a global existence and uniqueness theorem for initial values small in an appropriate weighted Sobolev space. The result can be extended via analogous methods to Dirac–Higgs–Yang–Mills theories.

      PubDate: 2018-02-05T13:32:55Z
      DOI: 10.1016/j.anihpc.2018.01.005
       
  • Stationary solutions to the compressible Navier–Stokes system with
           general boundary conditions
    • Authors: Eduard Feireisl; Antonín Novotný
      Abstract: Publication date: Available online 31 January 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
      Author(s): Eduard Feireisl, Antonín Novotný
      We consider the stationary compressible Navier–Stokes system supplemented with general inhomogeneous boundary conditions. Assuming the pressure to be given by the standard hard sphere EOS we show existence of weak solutions for arbitrarily large boundary data.

      PubDate: 2018-02-05T13:32:55Z
      DOI: 10.1016/j.anihpc.2018.01.001
       
  • Topological attractors of contracting Lorenz maps
    • Authors: Paulo
      Abstract: Publication date: Available online 10 January 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
      Author(s): Paulo Brandão
      We study the non-wandering set of contracting Lorenz maps. We show that if such a map f doesn't have any attracting periodic orbit, then there is a unique topological attractor. Furthermore, we classify the possible kinds of attractors that may occur.

      PubDate: 2018-02-05T13:32:55Z
       
  • Regularity for nonlinear stochastic games
    • Authors: Hannes Luiro; Mikko Parviainen
      Abstract: Publication date: Available online 4 January 2018
      Source:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
      Author(s): Hannes Luiro, Mikko Parviainen
      We establish regularity for functions satisfying a dynamic programming equation, which may arise for example from stochastic games or discretization schemes. Our results can also be utilized in obtaining regularity and existence results for the corresponding partial differential equations.

      PubDate: 2018-02-05T13:32:55Z
      DOI: 10.1016/j.anihpc.2017.11.009
       
 
 
JournalTOCs
School of Mathematical and Computer Sciences
Heriot-Watt University
Edinburgh, EH14 4AS, UK
Email: journaltocs@hw.ac.uk
Tel: +00 44 (0)131 4513762
Fax: +00 44 (0)131 4513327
 
Home (Search)
Subjects A-Z
Publishers A-Z
Customise
APIs
Your IP address: 54.196.86.89
 
About JournalTOCs
API
Help
News (blog, publications)
JournalTOCs on Twitter   JournalTOCs on Facebook

JournalTOCs © 2009-