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  Subjects -> MATHEMATICS (Total: 864 journals)
    - APPLIED MATHEMATICS (68 journals)
    - GEOMETRY AND TOPOLOGY (19 journals)
    - MATHEMATICS (643 journals)
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MATHEMATICS (643 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 3)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 2)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 6)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 21)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 10)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 4)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 15)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 1)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 9)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 1)
Advances in Materials Sciences     Open Access   (Followers: 15)
Advances in Mathematical Physics     Open Access   (Followers: 6)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 3)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 5)
Advances in Pure Mathematics     Open Access   (Followers: 4)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 7)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 2)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 9)
Algorithms Research     Open Access  
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 3)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 7)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 4)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 8)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription  
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 6)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 1)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 4)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Numerical Analysis & Computational Mathematics     Hybrid Journal   (Followers: 5)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 2)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 17)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 6)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 1)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access  
Baltic International Yearbook of Cognition, Logic and Communication     Open Access  
Basin Research     Hybrid Journal   (Followers: 3)
BIBECHANA     Open Access  
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 19)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 5)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 18)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CAUCHY     Open Access   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 1)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 4)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 5)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 12)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 28)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 2)
Discrete Mathematics     Hybrid Journal   (Followers: 7)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 3)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 4)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 4)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 3)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 4)
Fixed Point Theory and Applications     Open Access   (Followers: 1)
Formalized Mathematics     Open Access   (Followers: 2)

        1 2 3 4 | Last

Journal Cover Comptes Rendus Mathematique
  [SJR: 1.154]   [H-I: 46]   [1 followers]  Follow
    
   Full-text available via subscription Subscription journal  (Not entitled to full-text)
   ISSN (Print) 1631-073X
   Published by Elsevier Homepage  [3043 journals]
  • The elliptic Cauchy problem revisited: Control of boundary data in natural
           norms
    • Abstract: Publication date: Available online 11 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Erik Burman
      In this note, we prove error estimates in natural norms on the approximation of the boundary data in the elliptic Cauchy problem, for the finite element method first analysed in E. Burman, Error estimates for stabilised finite element methods applied to ill-posed problems, C. R. Acad. Sci. Paris, Ser. I 352 (7–8) (2014) 655–659.

      PubDate: 2017-03-13T01:23:46Z
       
  • The complex Monge–Ampère equation on weakly pseudoconvex
           domains
    • Abstract: Publication date: Available online 11 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Luca Baracco, Tran Vu Khanh, Stefano Pinton
      We show here a “weak” Hölder regularity up to the boundary of the solution to the Dirichlet problem for the complex Monge–Ampère equation with data in the L p space and Ω satisfying an f-property. The f-property is a potential-theoretical condition that holds for all pseudoconvex domains of finite type and many examples of infinite-type ones.

      PubDate: 2017-03-13T01:23:46Z
       
  • Blow-up solutions for a general class of the second-order differential
           equations on the half line
    • Abstract: Publication date: Available online 11 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Angelo R.F. de Holanda
      In this paper, we study the existence of positive blow-up solutions for a general class of the second-order differential equations and systems, which are positive radially symmetric solutions to many elliptic problems in R N . We explore fixed point arguments applied to suitable integral equations to get solutions.

      PubDate: 2017-03-13T01:23:46Z
       
  • Multipliers for Besov spaces on graded Lie groups
    • Abstract: Publication date: Available online 11 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Duván Cardona, Michael Ruzhansky
      In this note, we give embeddings and other properties of Besov spaces, as well as spectral and Fourier multiplier theorems, in the setting of graded Lie groups. We also present a Nikolskii-type inequality and the Littlewood–Paley theorem that play a role in this analysis and are also of interest on their own.

      PubDate: 2017-03-13T01:23:46Z
       
  • Faîte du cône tangent à une singularité : un
           théorème oublié
    • Abstract: Publication date: Available online 11 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Vincent Cossart, Olivier Piltant, Bernd Schober
      Let X be an excellent scheme; we denote by H X the modified Hilbert–Samuel function. This function is upper semi-continuous along X and does not increase for the lexicographical ordering after permissible blowing ups. When X is embedded in a regular ambient scheme, for all x ∈ X , the “stable τ at x” (“τ stable de x”), denoted by τ st ( x ) , is the codimension of the ridge of the tangent cone of X at x in the tangent cone of W at x. It is well known that the function ι : X → N N × − N , x ↦ ( H X ( x ) , − τ st ( x ) ) , does not increase for the lexicographical ordering after permissible blowing ups. In this note, we show that ι is upper semi-continuous along X . This result is generalized to the non-embedded case.

      PubDate: 2017-03-13T01:23:46Z
       
  • The full automorphism group of T‾
    • Abstract: Publication date: Available online 11 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Indranil Biswas, Subramaniam Senthamarai Kannan, Donihakalu Shankar Nagaraj
      Let G ‾ be the wonderful compactification of a simple affine algebraic group G of adjoint type defined over C . Let T ‾ ⊂ G ‾ be the closure of a maximal torus T ⊂ G . We prove that the group of all automorphisms of the variety T ‾ is the semi-direct product N G ( T ) ⋊ D , where N G ( T ) is the normalizer of T in G and D is the group of all automorphisms of the Dynkin diagram, if G ≠ PSL ( 2 , C ) . Note that if G = PSL ( 2 , C ) , then T ‾ = C P 1 and so in this case Aut ( T ‾ ) = PSL ( 2 , C ) .

      PubDate: 2017-03-13T01:23:46Z
       
  • Perverse sheaves and knot contact homology
    • Abstract: Publication date: Available online 11 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Yuri Berest, Alimjon Eshmatov, Wai-Kit Yeung
      In this paper, we give a new algebraic construction of knot contact homology in the sense of Ng [35]. For a link L in R 3 , we define a differential graded (DG) k-category A ˜ L with finitely many objects, whose quasi-equivalence class is a topological invariant of L. In the case when L is a knot, the endomorphism algebra of a distinguished object of A ˜ L coincides with the fully noncommutative knot DGA as defined by Ekholm, Etnyre, Ng, and Sullivan in [13]. The input of our construction is a natural action of the braid group B n on the category of perverse sheaves on a two-dimensional disk with singularities at n marked points, studied by Gelfand, MacPherson, and Vilonen in [19]. As an application, we show that the category of finite-dimensional representations of the link k-category A ˜ L = H 0 ( A ˜ L ) defined as the 0-th homology of A ˜ L is equivalent to the category of perverse sheaves on R 3 that are singular along the link L. We also obtain several generalizations of the category A ˜ L by extending the Gelfand–MacPherson–Vilonen braid group action. Detailed proofs of results announced in this paper will appear in [4].

      PubDate: 2017-03-13T01:23:46Z
       
  • Dossier Sommaire
    • Abstract: Publication date: March 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 3


      PubDate: 2017-03-13T01:23:46Z
       
  • On optimal Hölder regularity of solutions to the equation Δu+b⋅∇u=0
           in two dimensions
    • Abstract: Publication date: Available online 6 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Nam Q. Le
      We show that for an L 2 drift b in two dimensions, if the Hardy norm of div b is small, then the weak solutions to Δ u + b ⋅ ∇ u = 0 have the same optimal Hölder regularity as in the case of divergence-free drift, that is, u ∈ C loc α for all α ∈ ( 0 , 1 ) .

      PubDate: 2017-03-10T01:07:14Z
       
  • Corrigendum à la Note “Construction par déformation de réalisations
           minimales d'une algèbre de Lie simple de type G2” [C. R. Acad. Sci.
           Paris, Ser. I 323 (1996) 853–857]
    • Abstract: Publication date: Available online 3 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Benjamin Cahen


      PubDate: 2017-03-03T23:22:00Z
       
  • A remark on non-integral p-adic slopes for modular forms
    • Abstract: Publication date: Available online 1 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): John Bergdall, Robert Pollack
      We give a sufficient condition, namely “Buzzard irregularity”, for there to exist a cuspidal eigenform which does not have integral p-adic slope.

      PubDate: 2017-03-03T23:22:00Z
       
  • A simple proof of the Lyapunov finite-time stability theorem
    • Abstract: Publication date: Available online 24 February 2017
      Source:Comptes Rendus Mathematique
      Author(s): Oleg Makarenkov
      We offer a simple proof of the Lyapunov finite-time stability theorem for Filippov systems which does not use any generalized derivatives to differentiate the composition of the Lyapunov function with absolutely continuous solutions.

      PubDate: 2017-02-24T23:21:31Z
       
  • Second-order in time schemes for gradient flows in Wasserstein and
           geodesic metric spaces
    • Abstract: Publication date: Available online 20 February 2017
      Source:Comptes Rendus Mathematique
      Author(s): Guillaume Legendre, Gabriel Turinici
      The time discretization of gradient flows in metric spaces uses variants of the celebrated implicit Euler-type scheme of Jordan, Kinderlehrer, and Otto [9]. We propose in this Note a different approach, which allows us to construct two second-order in time numerical schemes. In a metric space framework, we show that the schemes are well defined and prove the convergence for one of them under some regularity assumptions. For the particular case of a Fokker–Planck gradient flow in the Wasserstein space, we obtain (theoretically and numerically) the second-order convergence.

      PubDate: 2017-02-24T23:21:31Z
       
  • Lipschitz conditions for the generalized discrete Fourier transform
           associated with the Jacobi operator on [0,π]
    • Abstract: Publication date: Available online 20 February 2017
      Source:Comptes Rendus Mathematique
      Author(s): Salah El Ouadih, Radouan Daher
      Our aim in this paper is to prove an analog of the classical Titchmarsh theorem on the image under the discrete Fourier–Jacobi transform of a set of functions satisfying a generalized Lipschitz condition in the space L 2 ( α , β ) .

      PubDate: 2017-02-24T23:21:31Z
       
  • Characterization of Lipschitz spaces via commutators of the
           Hardy–Littlewood maximal function
    • Abstract: Publication date: Available online 20 February 2017
      Source:Comptes Rendus Mathematique
      Author(s): Pu Zhang
      Let M be the Hardy–Littlewood maximal function and b be a locally integrable function. Denote by M b and [ b , M ] the maximal commutator and the (nonlinear) commutator of M with b. In this paper, the author considers the boundedness of M b and [ b , M ] on Lebesgue spaces and Morrey spaces when b belongs to the Lipschitz space, by which some new characterizations of the Lipschitz spaces are given.

      PubDate: 2017-02-24T23:21:31Z
       
  • Dossier Sommaire
    • Abstract: Publication date: February 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 2


      PubDate: 2017-02-24T23:21:31Z
       
  • A Hamilton–Jacobi method to describe the evolutionary equilibria in
           heterogeneous environments and with non-vanishing effects of mutations
    • Abstract: Publication date: February 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 2
      Author(s): Sylvain Gandon, Sepideh Mirrahimi
      In this note, we characterize the solution to a system of elliptic integro-differential equations describing a phenotypically structured population subject to mutation, selection, and migration. Generalizing an approach based on the Hamilton–Jacobi equations, we identify the dominant terms of the solution when the mutation term is small (but nonzero). This method was initially used, for different problems arisen from evolutionary biology, to identify the asymptotic solutions, while the mutations vanish, as a sum of Dirac masses. A key point is a uniqueness property related to the weak KAM theory. This method allows us to go further than the Gaussian approximation commonly used by biologists, and is an attempt to fill the gap between the theories of adaptive dynamics and quantitative genetics.

      PubDate: 2017-02-24T23:21:31Z
       
  • Simulation de la propagation de fracture dans un solide élastique
    • Abstract: Publication date: February 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 2
      Author(s): Leila Azem, Olivier Pantz
      We consider a brittle elastic solid (prone to develop fractures) as the limit of a damage model and propose a numerical method to determine its quasi-static evolution in the spirit of Francfort and Marigo [3] and Allaire et al. [1,2].

      PubDate: 2017-02-24T23:21:31Z
       
  • The global monodromy property for K3 surfaces allowing a triple-point-free
           model
    • Abstract: Publication date: February 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 2
      Author(s): Annelies Jaspers
      Inspired by the motivic monodromy conjecture, Halle and Nicaise defined the global monodromy property for Calabi–Yau varieties over a discretely valued field. In this note, we discuss this property for K3 surfaces allowing a strict normal crossings model where no three components in the special fiber have a common intersection. The main result is that the global monodromy property holds for a K3 surface with a so-called flowerpot degeneration. It also holds for K3 surfaces with a chain degeneration under certain conditions.

      PubDate: 2017-02-24T23:21:31Z
       
  • Periodic points in the intersection of attracting immediate basins
           boundaries
    • Abstract: Publication date: February 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 2
      Author(s): Bastien Rossetti
      We give conditions under which the intersection between two attracting immediate basins boundaries of a rational map contains at least one periodic point.

      PubDate: 2017-02-24T23:21:31Z
       
  • Flow polytopes with Catalan volumes
    • Abstract: Publication date: Available online 16 February 2017
      Source:Comptes Rendus Mathematique
      Author(s): Sylvie Corteel, Jang Soo Kim, Karola Mészáros
      The Chan–Robbins–Yuen polytope can be thought of as the flow polytope of the complete graph with netflow vector ( 1 , 0 , … , 0 , − 1 ) . The normalized volume of the Chan–Robbins–Yuen polytope equals the product of consecutive Catalan numbers, yet there is no combinatorial proof of this fact. We consider a natural generalization of this polytope, namely, the flow polytope of the complete graph with netflow vector ( 1 , 1 , 0 , … , 0 , − 2 ) . We show that the volume of this polytope is a certain power of 2 times the product of consecutive Catalan numbers. Our proof uses constant-term identities and further deepens the combinatorial mystery of why these numbers appear. In addition, we introduce two more families of flow polytopes whose volumes are given by product formulas.

      PubDate: 2017-02-17T23:21:02Z
       
  • Analyse a posteriori d'erreur par reconstruction pour un modèle
           d'écoulement dans un milieu poreux fracturé
    • Abstract: Publication date: Available online 13 February 2017
      Source:Comptes Rendus Mathematique
      Author(s): Zoubida Mghazli, Ilyas Naji
      We present in this note a posteriori error estimates based on the postprocessing technique for the reduced model of flow in fractured porous media, introduced and analysed by V. Martin, J. Jaffré, and J. Roberts. This model is approximated by the Raviart–Thomas finite elements of lowest order. In this type of approximation, the velocity is well approximated. A postprocessing of the pressure appears to be necessary since it does not belong to H 0 1 ( Ω ) . We give an upper bound for the error in the energy norm, with some indicators that are expressed in terms of the reconstruction of the pressure. Numerical results show that all indicators converge to zero when the mesh size goes to zero, with the same speed as the error. One of these indicators can be interpreted as both a discretization indicator and an indicator of the reduced model validity.

      PubDate: 2017-02-17T23:21:02Z
       
  • Decay of solutions to a new Hall–MHD system in R3
    • Abstract: Publication date: Available online 11 February 2017
      Source:Comptes Rendus Mathematique
      Author(s): Xiaopeng Zhao
      This paper discusses the large-time behavior of solutions for a new Hall–MHD system in R 3 . Using the Fourier splitting method, we establish the upper bound of the time-decay rate in L 2 ( R 3 ) for weak solutions.

      PubDate: 2017-02-11T23:20:41Z
       
  • r-Bell polynomials in combinatorial Hopf algebras
    • Abstract: Publication date: Available online 10 February 2017
      Source:Comptes Rendus Mathematique
      Author(s): Ali Chouria, Jean-Gabriel Luque
      We introduce partial r-Bell polynomials in three combinatorial Hopf algebras. We prove a factorization formula for the generating functions which is a consequence of the Zassenhauss formula.

      PubDate: 2017-02-11T23:20:41Z
       
  • Compactness for the weighted Hardy operator in variable exponent spaces
    • Abstract: Publication date: Available online 10 February 2017
      Source:Comptes Rendus Mathematique
      Author(s): Farman Mamedov, Sayali Mammadli
      In this paper, we prove a necessary and sufficiency condition for the weighted Hardy operator H υ , ω f ( x ) = υ ( x ) ∫ 0 x f ( t ) ω ( t ) d t to be compactly acting from L p ( ⋅ ) ( 0 , ∞ ) to L q ( ⋅ ) ( 0 , ∞ ) .

      PubDate: 2017-02-11T23:20:41Z
       
  • Instability of an integrable nonlocal NLS
    • Abstract: Publication date: Available online 9 February 2017
      Source:Comptes Rendus Mathematique
      Author(s): François Genoud
      In this note, we discuss the global dynamics of an integrable nonlocal NLS on R , which has been the object of a recent investigation by integrable systems methods. We prove two results that are in striking contrast with the case of the local cubic focusing NLS. First, finite-time blow-up solutions exist with arbitrarily small initial data in H s ( R ) , for any s ⩾ 0 . On the other hand, the solitons of the local NLS, which are also solutions to the nonlocal equation, are unstable by blow-up for the latter.

      PubDate: 2017-02-11T23:20:41Z
       
  • A stochastic Hamilton–Jacobi equation with infinite speed of
           propagation
    • Abstract: Publication date: Available online 9 February 2017
      Source:Comptes Rendus Mathematique
      Author(s): Paul Gassiat
      We give an example of a stochastic Hamilton–Jacobi equation d u = H ( D u ) d ξ which has an infinite speed of propagation as soon as the driving signal ξ is not of bounded variation.

      PubDate: 2017-02-11T23:20:41Z
       
  • Pathological solutions to the Euler–Lagrange equation and
           existence/regularity of minimizers in one-dimensional variational problems
           
    • Abstract: Publication date: Available online 9 February 2017
      Source:Comptes Rendus Mathematique
      Author(s): Richard Gratwick, Aidys Sedipkov, Mikhail Sychev, Aris Tersenov
      In this paper, we prove that if L ( x , u , v ) ∈ C 3 ( R 3 → R ) , L v v > 0 and L ≥ α v + β , α > 0 , then all problems (1), (2) admit solutions in the class W 1 , 1 [ a , b ] , which are in fact C 3 -regular provided there are no pathological solutions to the Euler equation (5). Here u ∈ C 3 [ c , d [ is called a pathological solution to equation (5) if the equation holds in [ c , d [ , u ˙ ( x ) → ∞ as x → d , and ‖ u ‖ C [ c , d ] < ∞ . We also prove that the lack of pathological solutions to the Euler equation results in the lack of the Lavrentiev phenomenon, see Theorem 9; no growth assumptions from below are required in this result.

      PubDate: 2017-02-11T23:20:41Z
       
  • Multipreconditioning for nonsymmetric problems: The case of orthomin and
           biCG
    • Abstract: Publication date: Available online 8 February 2017
      Source:Comptes Rendus Mathematique
      Author(s): Christophe Bovet, Pierre Gosselet, Nicole Spillane
      Preconditioned Krylov subspace methods [7] are powerful tools for solving linear systems but sometimes they converge very slowly, and often after a long stagnation. A natural way to fix this is by enlarging the space in which the solution is computed at each iteration. Following this idea, we propose in this note two multipreconditioned algorithms: multipreconditioned orthomin and multipreconditioned biCG, which aim at solving general nonsingular linear systems in a small number of iterations. After describing the algorithms, we illustrate their behaviour on systems arising from the FETI domain decomposition method, where in order to enlarge the search space, each local component in the usual preconditioner is kept as a separate preconditioner.

      PubDate: 2017-02-11T23:20:41Z
       
  • A note on Fröberg's conjecture for forms of equal degrees
    • Abstract: Publication date: Available online 7 February 2017
      Source:Comptes Rendus Mathematique
      Author(s): Gleb Nenashev
      In this note we study ideals generated by generic forms in polynomial rings over any algebraicly closed field of characteristic zero. We prove for many cases that the ( d + k ) -th graded component of an ideal generated by generic forms of degree d has the expected dimension (given by dimension count). And as a consequence of our result, we obtain that ideals generated by several generic forms of degrees d usually have the expected Hilbert series. The precise form of this expected Hilbert series, in general, is known as Fröberg's conjecture.

      PubDate: 2017-02-11T23:20:41Z
       
  • Special values of L-functions for orthogonal groups
    • Abstract: Publication date: Available online 6 February 2017
      Source:Comptes Rendus Mathematique
      Author(s): Chandrasheel Bhagwat, A. Raghuram
      This is an announcement of certain rationality results for the critical values of the degree-2n L-functions attached to GL 1 × SO ( n , n ) over Q for an even positive integer n. The proof follows from studying the rank-one Eisenstein cohomology for SO ( n + 1 , n + 1 ) .

      PubDate: 2017-02-11T23:20:41Z
       
  • A short remark on a growth–fragmentation equation
    • Abstract: Publication date: Available online 6 February 2017
      Source:Comptes Rendus Mathematique
      Author(s): Miguel Escobedo
      An explicit solution for a growth fragmentation equation with constant dislocation measure is obtained. In this example the necessary condition for the general results in [5] about the existence of global solutions in the so-called self-similar case is not satisfied. The solution is local and blows up in finite time.

      PubDate: 2017-02-11T23:20:41Z
       
  • Symmetry for extremal functions in subcritical
           Caffarelli–Kohn–Nirenberg inequalities
    • Abstract: Publication date: Available online 6 February 2017
      Source:Comptes Rendus Mathematique
      Author(s): Jean Dolbeault, Maria J. Esteban, Michael Loss, Matteo Muratori
      We use the formalism of the Rényi entropies to establish the symmetry range of extremal functions in a family of subcritical Caffarelli–Kohn–Nirenberg inequalities. By extremal functions we mean functions that realize the equality case in the inequalities, written with optimal constants. The method extends recent results on critical Caffarelli–Kohn–Nirenberg inequalities. Using heuristics given by a nonlinear diffusion equation, we give a variational proof of a symmetry result, by establishing a rigidity theorem: in the symmetry region, all positive critical points have radial symmetry and are therefore equal to the unique positive, radial critical point, up to scalings and multiplications. This result is sharp. The condition on the parameters is indeed complementary of the condition that determines the region in which symmetry breaking holds as a consequence of the linear instability of radial optimal functions. Compared to the critical case, the subcritical range requires new tools. The Fisher information has to be replaced by Rényi entropy powers, and since some invariances are lost, the estimates based on the Emden–Fowler transformation have to be modified.

      PubDate: 2017-02-11T23:20:41Z
       
  • Large deviations of a velocity jump process with a Hamilton–Jacobi
           approach
    • Abstract: Publication date: Available online 4 February 2017
      Source:Comptes Rendus Mathematique
      Author(s): Nils Caillerie
      We study a random process on R n moving in straight lines and changing randomly its velocity at random exponential times. We focus more precisely on the Kolmogorov equation in the hyperbolic scale ( t , x , v ) → ( t ε , x ε , v ) , with ε > 0 , before proceeding to a Hopf–Cole transform, which gives a kinetic equation on a potential. We show convergence as ε → 0 of the potential towards the viscosity solution to a Hamilton–Jacobi equation ∂ t φ + H ( ∇ x φ ) = 0 where the Hamiltonian may lack C 1 regularity, which is quite unseen in this type of studies.

      PubDate: 2017-02-04T20:29:11Z
       
  • Dualité pour les groupes de type multiplicatif sur certains corps de
           fonctions
    • Abstract: Publication date: Available online 4 February 2017
      Source:Comptes Rendus Mathematique
      Author(s): Diego Izquierdo
      Let K be the function field of a smooth projective curve X over a higher-dimensional local field k. We define Tate–Shafarevich groups of a commutative group scheme via cohomology classes locally trivial at each completion of K coming from a closed point of X. In this note, we state and sketch the proof of an arithmetic duality theorem for Tate–Shafarevich groups of groups of multiplicative type over K (and more generally of some two-term complexes of tori over K).

      PubDate: 2017-02-04T20:29:11Z
       
  • Space/time convergence analysis of a class of conservative schemes for
           linear wave equations
    • Abstract: Publication date: Available online 1 February 2017
      Source:Comptes Rendus Mathematique
      Author(s): Juliette Chabassier, Sébastien Imperiale
      This paper concerns the space/time convergence analysis of conservative two-step time discretizations for linear wave equations. Explicit and implicit, second- and fourth-order schemes are considered, while the space discretization is given and satisfies minimal hypotheses. Convergence analysis is done using energy techniques and holds if the time step is upper-bounded by a quantity depending on space discretization parameters. In addition to showing the convergence for recently introduced fourth-order schemes, the novelty of this work consists in the independency of the convergence estimates with respect to the difference between the time step and its greatest admissible value.

      PubDate: 2017-02-04T20:29:11Z
       
  • A remark on boundary level admissible representations
    • Abstract: Publication date: Available online 1 February 2017
      Source:Comptes Rendus Mathematique
      Author(s): Victor G. Kac, Minoru Wakimoto
      We point out that it is immediate by our character formula that in the case of a boundary level the characters of admissible representations of affine Kac–Moody algebras and the corresponding W-algebras decompose in products in terms of the Jacobi form ϑ 11 ( τ , z ) .

      PubDate: 2017-02-04T20:29:11Z
       
  • Dispersive estimates for the wave equation inside cylindrical convex
           domains: A model case
    • Abstract: Publication date: Available online 18 January 2017
      Source:Comptes Rendus Mathematique
      Author(s): Len Meas
      In this work, we will establish local in time dispersive estimates for solutions to the model-case Dirichlet wave equation inside a cylindrical convex domain Ω ⊂ R 3 with a smooth boundary ∂ Ω ≠ ∅ . Let us recall that dispersive estimates are key ingredients to prove Strichartz estimates. Nonoptimal Strichartz estimates for waves inside an arbitrary domain Ω have been proved by Blair–Smith–Sogge [1,2]. Better estimates in strictly convex domains have been obtained in [4]. Our case of cylindrical domains is an extension of the result of [4] in the case where the curvature radius ≥0 depends on the incident angle and vanishes in some directions.

      PubDate: 2017-01-21T16:48:27Z
       
  • Cauchy problem on a characteristic cone for the Einstein–Vlasov system:
           (I) The initial data constraints
    • Abstract: Publication date: Available online 18 January 2017
      Source:Comptes Rendus Mathematique
      Author(s): Jean Baptiste Patenou
      In this paper, one considers a Cauchy problem with data on a characteristic cone for the Einstein–Vlasov system in temporal gauge. One highlights gauge-dependent constraints that, supplemented by the standard constraints i.e. the Hamiltonian and the momentum constraints, define the full set of constraints for the considered setting. One studies their global resolution from a suitable choice of some free data, the behavior of the deduced initial data at the vertex of the cone, and the preservation of the gauge.

      PubDate: 2017-01-21T16:48:27Z
       
  • Uniform bound for the effective Bogomolov conjecture
    • Abstract: Publication date: Available online 17 January 2017
      Source:Comptes Rendus Mathematique
      Author(s): Xiao-Lei Liu, Sheng-Li Tan
      We obtain a uniform bound for the effective Bogomolov conjecture, which depends only on the genus g of the curve. The bound grows as O ( g − 3 ) as g tends to infinity.

      PubDate: 2017-01-21T16:48:27Z
       
  • On the kernel of the regulator map
    • Abstract: Publication date: Available online 16 January 2017
      Source:Comptes Rendus Mathematique
      Author(s): Sen Yang
      By using the infinitesimal methods due to Bloch, Green, and Griffiths in [1,4], we construct an infinitesimal form of the regulator map and verify that its kernel is Ω C / Q 1 , which suggests that Question 1.1 seems reasonable at the infinitesimal level.

      PubDate: 2017-01-21T16:48:27Z
       
  • Higher genus Kashiwara–Vergne problems and the Goldman–Turaev
           Lie bialgebra
    • Abstract: Publication date: Available online 28 December 2016
      Source:Comptes Rendus Mathematique
      Author(s): Anton Alekseev, Nariya Kawazumi, Yusuke Kuno, Florian Naef
      We define a family KV ( g , n + 1 ) of Kashiwara–Vergne problems associated with compact connected oriented 2-manifolds of genus g with n + 1 boundary components. The problem KV ( 0 , 3 ) is the classical Kashiwara–Vergne problem from Lie theory. We show the existence of solutions to KV ( g , n + 1 ) for arbitrary g and n. The key point is the solution to KV ( 1 , 1 ) based on the results by B. Enriquez on elliptic associators. Our construction is motivated by applications to the formality problem for the Goldman–Turaev Lie bialgebra g ( g , n + 1 ) . In more detail, we show that every solution to KV ( g , n + 1 ) induces a Lie bialgebra isomorphism between g ( g , n + 1 ) and its associated graded gr g ( g , n + 1 ) . For g = 0 , a similar result was obtained by G. Massuyeau using the Kontsevich integral. For g ≥ 1 , n = 0 , our results imply that the obstruction to surjectivity of the Johnson homomorphism provided by the Turaev cobracket is equivalent to the Enomoto–Satoh obstruction.

      PubDate: 2016-12-28T15:31:29Z
       
  • On the topology of the set of singularities of a solution to the
           Hamilton–Jacobi equation
    • Abstract: Publication date: Available online 27 December 2016
      Source:Comptes Rendus Mathematique
      Author(s): Piermarco Cannarsa, Wei Cheng, Albert Fathi
      We address the topology of the set of singularities of a solution to a Hamilton–Jacobi equation. For this, we will apply the idea of the first two authors (Cannarsa and Cheng, Generalized characteristics and Lax–Oleinik operators: global result, preprint, arXiv:1605.07581, 2016) to use the positive Lax–Oleinik semi-group to propagate singularities.

      PubDate: 2016-12-28T15:31:29Z
       
  • Boundedness in a three-dimensional chemotaxis–haptotaxis model with
           nonlinear diffusion
    • Abstract: Publication date: Available online 27 December 2016
      Source:Comptes Rendus Mathematique
      Author(s): Xuegang Hu, Liangchen Wang, Chunlai Mu, Ling Li
      The quasilinear chemotaxis–haptotaxis system { u t = ∇ ⋅ ( D ( u ) ∇ u ) − χ ∇ ⋅ ( u ∇ v ) − ξ ∇ ⋅ ( u ∇ w ) u t = + μ u ( 1 − u − w ) , x ∈ Ω , t > 0 , v t = Δ v − v + u , x ∈ Ω , t > 0 , w t = − v w , x ∈ Ω , t > 0 , is considered under homogeneous Neumann boundary conditions in a bounded and smooth domain Ω ⊂ R 3 . Here χ > 0 , ξ > 0 and μ > 0 , D ( u ) ≥ c D u m − 1 for all u > 0 with some c D > 0 and D ( u ) > 0 for all u ≥ 0 . It is shown that if the ratio χ μ is sufficiently small, then the system possesses a unique global classical solution that is uniformly bounded. Our result is independent of m.

      PubDate: 2016-12-28T15:31:29Z
       
  • Growth of class numbers of positive definite ternary unimodular Hermitian
           lattices over imaginary number fields
    • Abstract: Publication date: Available online 27 December 2016
      Source:Comptes Rendus Mathematique
      Author(s): Byeong Moon Kim, Poo-Sung Park
      We give a lower bound for class numbers of unimodular ternary Hermitian lattices over imaginary quadratic fields. This shows that class numbers of unimodular Hermitian lattices grow infinitely as the field discriminants grow.

      PubDate: 2016-12-28T15:31:29Z
       
  • Variation of Laplace spectra of compact “nearly” hyperbolic
           surfaces
    • Abstract: Publication date: Available online 27 December 2016
      Source:Comptes Rendus Mathematique
      Author(s): Mayukh Mukherjee
      We use the real analyticity of the Ricci flow with respect to time proved by B. Kotschwar to extend a result of P. Buser, namely, we prove that the Laplace spectra of negatively curved compact orientable surfaces having the same genus γ ≥ 2 , the same area and the same curvature bounds vary in a “controlled way”, of which we give a quantitative estimate in our main theorem. The basic technical tool is a variational formula that provides the derivative of an eigenvalue branch under the normalized Ricci flow. In a related manner, we also observe how the above-mentioned real analyticity result can lead to unexpected conclusions concerning the spectral properties of generic metrics on a compact surface of genus γ ≥ 2 .

      PubDate: 2016-12-28T15:31:29Z
       
  • Lattice sub-tilings and frames in LCA groups
    • Abstract: Publication date: Available online 21 December 2016
      Source:Comptes Rendus Mathematique
      Author(s): Davide Barbieri, Eugenio Hernández, Azita Mayeli
      Given a lattice Λ in a locally compact Abelian group G and a measurable subset Ω with finite and positive measure, then the set of characters associated with the dual lattice form a frame for L 2 ( Ω ) if and only if the distinct translates by Λ of Ω have almost empty intersections. Some consequences of this results are the well-known Fuglede theorem for lattices, as well as a simple characterization for frames of modulates.

      PubDate: 2016-12-28T15:31:29Z
       
 
 
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