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  Subjects -> MATHEMATICS (Total: 870 journals)
    - APPLIED MATHEMATICS (68 journals)
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    - MATHEMATICS (646 journals)
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MATHEMATICS (646 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: 20)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 9)
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: 6)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 5)
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  
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 Analysis and Applications
  [SJR: 0.652]   [H-I: 9]   [1 followers]  Follow
    
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 0219-5305 - ISSN (Online) 1793-6861
   Published by World Scientific Homepage  [118 journals]
  • Thresholded spectral algorithms for sparse approximations
    • Pages: 1 - 23
      Abstract: Analysis and Applications, Ahead of Print.
      Spectral algorithms form a general framework that unifies many regularization schemes in learning theory. In this paper, we propose and analyze a class of thresholded spectral algorithms that are designed based on empirical features. Soft thresholding is adopted to achieve sparse approximations. Our analysis shows that without sparsity assumption of the regression function, the output functions of thresholded spectral algorithms are represented by empirical features with satisfactory sparsity, and the convergence rates are comparable to those of the classical spectral algorithms in the literature.
      Citation: Analysis and Applications
      PubDate: 2017-01-23T07:19:36Z
      DOI: 10.1142/S0219530517500026
       
  • Optimal open-loop strategies in a debt management problem
    • Pages: 1 - 25
      Abstract: Analysis and Applications, Ahead of Print.
      The paper studies optimal strategies for a borrower who needs to repay his debt, in an infinite time horizon. An instantaneous bankruptcy risk is present, which increases with the size of the debt. This induces a pool of risk-neutral lenders to charge a higher interest rate, to compensate for the possible loss of part of their investment. Solutions are interpreted as Stackelberg equilibria, where the borrower announces his repayment strategy [math] at all future times, and lenders adjust the interest rate accordingly. This yields a highly non-standard problem of optimal control, where the instantaneous dynamics depend on the entire future evolution of the system. Our analysis shows the existence of optimal open-loop controls, deriving necessary conditions for optimality and characterizing possible asymptotic limits as [math].
      Citation: Analysis and Applications
      PubDate: 2017-01-23T07:19:36Z
      DOI: 10.1142/S0219530517500038
       
  • Global well-posedness for the 3D viscous nonhomogeneous incompressible
           magnetohydrodynamic equations
    • Pages: 1 - 43
      Abstract: Analysis and Applications, Ahead of Print.
      In this paper, we investigate the Cauchy problem for the 3D viscous nonhomogeneous incompressible magnetohydrodynamic equations in critical Besov spaces. We aim at proving the local and global well-posedness for respectively large and small initial data having critical Besov regularity, without assumptions of small density variation.
      Citation: Analysis and Applications
      PubDate: 2017-01-23T07:19:36Z
      DOI: 10.1142/S0219530517500014
       
  • Continuous and discrete frames generated by the evolution flow of the
           Schrödinger equation
    • Pages: 1 - 23
      Abstract: Analysis and Applications, Ahead of Print.
      We study a family of coherent states, called Schrödingerlets, both in the continuous and discrete setting. They are defined in terms of the Schrödinger equation of a free quantum particle and some of its invariant transformations.
      Citation: Analysis and Applications
      PubDate: 2017-01-23T07:19:36Z
      DOI: 10.1142/S021953051750004X
       
  • On the maximal Sobolev regularity of distributions supported by subsets of
           Euclidean space
    • Authors: D. P. Hewett, A. Moiola
      Pages: 1 - 40
      Abstract: Analysis and Applications, Ahead of Print.
      This paper concerns the following question: given a subset [math] of [math] with empty interior and an integrability parameter [math], what is the maximal regularity [math] for which there exists a non-zero distribution in the Bessel potential Sobolev space [math] that is supported in [math]? For sets of zero Lebesgue measure, we apply well-known results on set capacities from potential theory to characterize the maximal regularity in terms of the Hausdorff dimension of [math], sharpening previous results. Furthermore, we provide a full classification of all possible maximal regularities, as functions of [math], together with the sets of values of [math] for which the maximal regularity is attained, and construct concrete examples for each case. Regarding sets with positive measure, for which the maximal regularity is non-negative, we present new lower bounds on the maximal Sobolev regularity supported by certain fat Cantor sets, which we obtain both by capacity-theoretic arguments, and by direct estimation of the Sobolev norms of characteristic functions. We collect several results characterizing the regularity that can be achieved on certain special classes of sets, such as [math]-sets, boundaries of open sets, and Cartesian products, of relevance for applications in differential and integral equations.
      Citation: Analysis and Applications
      PubDate: 2016-12-09T07:50:46Z
      DOI: 10.1142/S021953051650024X
       
  • A limit problem for three-dimensional ideal compressible radiation
           magneto-hydrodynamics
    • Authors: Feng Xie, Christian Klingenberg
      Pages: 1 - 18
      Abstract: Analysis and Applications, Ahead of Print.
      General radiation magnetic hydrodynamics models include two main parts that are coupled: one part is the macroscopic magnetic fluid part, which is governed by the ideal compressible magnetohydrodynamic (MHD) equations with additional radiation terms; another part is the radiation field, which is described by a transfer equation. It is well known that in radiation hydrodynamics without a magnetic field there are two physical approximations: one is the so-called P1 approximation and the other is the so-called gray approximation. Starting out with a general radiation MHD model one can derive the so-called MHD-P1 approximation model. In this paper, we study the non-relativistic type limit for this MHD-P1 approximation model since the speed of light is much larger than the speed of the macroscopic fluid. This way we achieve a rigorous derivation of a widely used macroscopic model in radiation magnetohydrodynamics.
      Citation: Analysis and Applications
      PubDate: 2016-12-08T08:38:44Z
      DOI: 10.1142/S0219530516500238
       
  • Global solvability of the inhomogeneous Ericksen–Leslie system with
           only bounded density
    • Authors: Francesco De Anna
      Pages: 1 - 51
      Abstract: Analysis and Applications, Ahead of Print.
      The most established theory for modeling the dynamics of nematic liquid crystals is the celebrated Ericksen–Leslie system, which presents some major analytical challenges. We study a simplified version of the system, which still exhibits the major difficulties. We consider the density-dependent case and study the Cauchy problem in the whole space. We establish the global existence of solutions for small initial data by assuming only that the initial density is bounded and kept away far from vacuum, while the initial velocity and the gradient of the initial director field belong to certain critical Besov spaces. Under slightly more assumptions on the initial velocity and the director field, we also prove that the solutions are unique.
      Citation: Analysis and Applications
      PubDate: 2016-10-19T10:07:25Z
      DOI: 10.1142/S0219530516500172
       
  • A fundamental solution for a nonelliptic partial differential operator, II
    • Authors: Peter Greiner, Yutian Li
      Pages: 1 - 27
      Abstract: Analysis and Applications, Ahead of Print.
      Let [math] denote the holomorphic tangential vector field to the generalized upper-half plane [math]. In our terminology, [math]. Consider the [math] operator on the boundary of [math], [math]; note that [math] is nowhere elliptic, but it is subelliptic with step three. The principal result of this paper is the derivation of an explicit fundamental solution [math] to [math]. Our approach is based on special functions and their properties.
      Citation: Analysis and Applications
      PubDate: 2016-10-19T10:07:24Z
      DOI: 10.1142/S0219530516500196
       
  • Regularized learning schemes in feature Banach spaces
    • Authors: Patrick L. Combettes, Saverio Salzo, Silvia Villa
      Pages: 1 - 54
      Abstract: Analysis and Applications, Ahead of Print.
      This paper proposes a unified framework for the investigation of constrained learning theory in reflexive Banach spaces of features via regularized empirical risk minimization. The focus is placed on Tikhonov-like regularization with totally convex functions. This broad class of regularizers provides a flexible model for various priors on the features, including, in particular, hard constraints and powers of Banach norms. In such context, the main results establish a new general form of the representer theorem and the consistency of the corresponding learning schemes under general conditions on the loss function, the geometry of the feature space, and the modulus of total convexity of the regularizer. In addition, the proposed analysis gives new insight into basic tools such as reproducing Banach spaces, feature maps, and universality. Even when specialized to Hilbert spaces, this framework yields new results that extend the state of the art.
      Citation: Analysis and Applications
      PubDate: 2016-10-19T10:07:17Z
      DOI: 10.1142/S0219530516500202
       
  • Lipschitz metric for the modified two-component Camassa–Holm system
    • Authors: Chunxia Guan, Kai Yan, Xuemei Wei
      Pages: 1 - 24
      Abstract: Analysis and Applications, Ahead of Print.
      This paper is devoted to the existence and Lipschitz continuity of global conservative weak solutions in time for the modified two-component Camassa–Holm system on the real line. We obtain the global weak solutions via a coordinate transformation into the Lagrangian coordinates. The key ingredients in our analysis are the energy density given by the positive Radon measure and the proposed new distance functions as well.
      Citation: Analysis and Applications
      PubDate: 2016-10-19T10:07:15Z
      DOI: 10.1142/S0219530516500226
       
  • The asymptotic behavior of globally smooth solutions to the compressible
           magnetohydrodynamic equations with Coulomb force
    • Authors: Zhong Tan, Yong Wang, Leilei Tong
      Pages: 1 - 24
      Abstract: Analysis and Applications, Ahead of Print.
      The asymptotic stability of the steady state with the strictly positive constant density and the vanishing velocity and magnetic field to the Cauchy problem of the three-dimensional compressible viscous, heat-conducting magnetohydrodynamic equations with Coulomb force is established under small initial perturbations. Using a general energy method, we obtain the optimal time decay rates of the solution and its higher-order spatial derivatives by introducing the negative Sobolev and Besov spaces. As a corollary, the [math]–[math] [math] type of the decay rates follows without requiring that the [math] norm of initial data is small.
      Citation: Analysis and Applications
      PubDate: 2016-10-19T10:07:13Z
      DOI: 10.1142/S0219530516500160
       
  • Accelerating diffusion on compact Riemannian surfaces by incompressible
           drift
    • Authors: Brice Franke, Nejib Yaakoubi
      Pages: 1 - 14
      Abstract: Analysis and Applications, Ahead of Print.
      We construct divergence free vector-fields on compact Riemannian surfaces which push the spectral gap of some diffusion generator above some prescribed value. The resulting diffusion describes some Brownian particle in a stationary incompressible fluid. The spectral gap is an indicator for the speed at which this diffusion converges toward its equilibrium, which corresponds to the uniform distribution. In other terms, we describe efficient fluid motion, to accelerate the convergence to equilibrium of some Brownian particle in a two-dimensional liquid.
      Citation: Analysis and Applications
      PubDate: 2016-10-19T10:07:12Z
      DOI: 10.1142/S0219530516500184
       
  • The coupled Sasa–Satsuma hierarchy: Trigonal curve and finite genus
           solutions
    • Authors: Yunyun Zhai, Xianguo Geng
      Pages: 1 - 31
      Abstract: Analysis and Applications, Ahead of Print.
      Based on the Lenard recursion equations and the stationary zero-curvature equation, we derive the coupled Sasa–Satsuma hierarchy, in which a typical number is the coupled Sasa–Satsuma equation. The properties of the associated trigonal curve and the meromorphic functions are studied, which naturally give the essential singularities and divisors of the meromorphic functions. By comparing the asymptotic expansions for the Baker–Akhiezer function and its Riemann theta function representation, we arrive at the finite genus solutions of the whole coupled Sasa–Satsuma hierarchy in terms of the Riemann theta function.
      Citation: Analysis and Applications
      PubDate: 2016-10-19T10:07:11Z
      DOI: 10.1142/S0219530516500214
       
  • Multivariate sampling-type approximation
    • Authors: A. Krivoshein, M. Skopina
      Pages: 1 - 22
      Abstract: Analysis and Applications, Ahead of Print.
      Approximation properties of the expansions [math], where [math] is a linear differential operator and [math] is a matrix dilation, are studied. The sampling expansions are a special case of such differential expansions. Error estimations in [math]-norm, [math], are given in terms of the Fourier transform of [math]. The approximation order depends on the smoothness of [math], the order of [math], the order of Strang–Fix condition for [math] and [math]. A wide class of [math] including both band-limited and compactly supported functions is considered, but a special condition of compatibility [math] with [math] is required. Such differential expansions may be useful for engineers.
      Citation: Analysis and Applications
      PubDate: 2016-07-07T11:03:18Z
      DOI: 10.1142/S0219530516500147
       
  • Pointwise error estimate for a consistent beam theory
    • Authors: Xiaoyi Chen, Zilong Song, Hui-Hui Dai
      Pages: 1 - 30
      Abstract: Analysis and Applications, Ahead of Print.
      This paper studies the planar deformations of a beam composed of a linearly elastic material. Starting from the field equations for the plane-stress problem and adopting a series expansion for the displacement vector about the bottom surface, we deduce the beam equations with two unknowns in a consistent manner. The success relies on using the field equations together with the bottom traction conditions to establish the exact recursion relations, such that all quantities can be represented in terms of the two leading expansion coefficients of the displacements. Another feature is that the remainders of the series can be carried over to the beam equations. Then, based on the general solutions and the error terms of the beam equations, pointwise error estimates for displacement and stress fields are rigorously established. Three benchmark problems are considered, for which the two-dimensional exact solutions are available. It is shown that this new beam theory recovers the exact solutions for these problems. Two cases with boundary layer effects are also discussed in the appendix.
      Citation: Analysis and Applications
      PubDate: 2016-07-07T11:03:17Z
      DOI: 10.1142/S0219530516500135
       
  • Continuity and compactness for pseudo-differential operators with symbols
           in quasi-Banach spaces or Hörmander classes
    • Authors: Joachim Toft
      Pages: 1 - 37
      Abstract: Analysis and Applications, Ahead of Print.
      We deduce continuity and Schatten–von Neumann properties for operators with matrices satisfying mixed quasi-norm estimates with Lebesgue and Schatten parameters in [math]. We use these results to deduce continuity and Schatten–von Neumann properties for pseudo-differential operators with symbols in quasi-Banach modulation spaces, or in appropriate Hörmander classes.
      Citation: Analysis and Applications
      PubDate: 2016-07-07T11:03:16Z
      DOI: 10.1142/S0219530516500159
       
  • Inequalities for gamma and [math]-gamma functions of complex arguments
    • Authors: Mourad E. H. Ismail
      Pages: 1 - 11
      Abstract: Analysis and Applications, Ahead of Print.
      We prove that the function [math] and its [math]-analogue are of the form [math] and [math] is completely monotonic in [math]. In particular both [math] and [math] are Laplace transforms of infinitely divisible distributions. We also extend Lerch’s inequality to the [math]-gamma function.
      Citation: Analysis and Applications
      PubDate: 2016-05-04T01:15:18Z
      DOI: 10.1142/S0219530516500093
       
  • Nonuniform recovery of fusion frame structured sparse signals
    • Authors: Yu Xia, Song Li
      Pages: 1 - 20
      Abstract: Analysis and Applications, Ahead of Print.
      This paper considers the non-uniform sparse recovery of block signals in a fusion frame, which is a collection of subspaces that provide redundant representation of signal spaces. Combined with specific fusion frame, the sensing mechanism selects block-vector-valued measurements independently at random from a probability distribution [math]. If the probability distribution [math] obeys a simple incoherence property and an isotropy property, we can faithfully recover approximately block sparse signals via mixed [math]-minimization in ways similar to Compressed Sensing. The number of measurements is significantly reduced by a priori knowledge of a certain incoherence parameter [math] associated with the angles between the fusion frame subspaces. As an example, the paper shows that an [math]-sparse block signal can be exactly recovered from about [math] Fourier coefficients combined with fusion frame [math], where [math].
      Citation: Analysis and Applications
      PubDate: 2016-05-04T01:15:16Z
      DOI: 10.1142/S0219530516500032
       
  • Orbital stability of standing waves of a class of fractional Schrödinger
           equations with Hartree-type nonlinearity
    • Authors: Yonggeun Cho, Mouhamed M. Fall, Hichem Hajaiej, Peter A. Markowich, Saber Trabelsi
      Pages: 1 - 31
      Abstract: Analysis and Applications, Ahead of Print.
      This paper is devoted to the mathematical analysis of a class of nonlinear fractional Schrödinger equations with a general Hartree-type integrand. We show the well-posedness of the associated Cauchy problem and prove the existence and stability of standing waves under suitable assumptions on the nonlinearity. Our proofs rely on a contraction argument in mixed functional spaces and the concentration-compactness method.
      Citation: Analysis and Applications
      PubDate: 2016-05-04T01:15:14Z
      DOI: 10.1142/S0219530516500056
       
  • Functions of the infinitesimal generator of a strongly continuous
           quaternionic group
    • Authors: Daniel Alpay, Fabrizio Colombo, Jonathan Gantner, David P. Kimsey
      Pages: 1 - 33
      Abstract: Analysis and Applications, Ahead of Print.
      The quaternionic analogue of the Riesz–Dunford functional calculus and the theory of semigroups and groups of linear quaternionic operators have recently been introduced and studied. In this paper, we suppose that [math] is the quaternionic infinitesimal generator of a strongly continuous group of operators [math] and we show how we can define bounded operators [math], where [math] belongs to a class of functions that is larger than the one to which the quaternionic functional calculus applies, using the quaternionic Laplace–Stieltjes transform. This class includes functions that are slice regular on the [math]-spectrum of [math] but not necessarily at infinity. Moreover, we establish the relation between [math] and the quaternionic functional calculus and we study the problem of finding the inverse of [math].
      Citation: Analysis and Applications
      PubDate: 2016-05-04T01:15:13Z
      DOI: 10.1142/S021953051650007X
       
  • Interplay of inertia and heterogeneous dynamics in an ensemble of Kuramoto
           oscillators
    • Authors: Seung-Yeal Ha, Se Eun Noh, Jinyeong Park
      Pages: 1 - 25
      Abstract: Analysis and Applications, Ahead of Print.
      We study the dynamic interplay between inertia and heterogeneous dynamics in an ensemble of Kuramoto oscillators. When external fields and internal forces are exerted on a system of Kuramoto oscillators, each oscillator has its own distinct dynamics, so that there is no notion of collective dynamics in the ensemble, and complete synchronization is not observed in such systems. In this paper, we study a relaxed version of synchronization, namely the “practical synchronization”, of Kuramoto oscillators, emerging from the dynamic interplay between inertia and heterogeneous decoupled dynamics. We will show that for some class of initial configurations and parameters, the fluctuation of phases and frequencies around the average values will be proportional to the inverse of the coupling strength. We provide several numerical examples, and compare these with our analytical results.
      Citation: Analysis and Applications
      PubDate: 2016-05-04T01:15:12Z
      DOI: 10.1142/S0219530516500111
       
  • Global classical solutions to a 3D Navier–Stokes–Korteweg equations
           with small initial energy
    • Authors: Xiaofeng Hou, Hongyun Peng, Changjiang Zhu
      Pages: 1 - 30
      Abstract: Analysis and Applications, Ahead of Print.
      In this paper, we investigate the global well-posedness of classical solutions to three-dimensional Cauchy problem of the compressible Navier–Stokes type system with a Korteweg stess tensor under the condition that the initial energy is small. This result improves previous results obtained by Hattori–Li in [H. Hattori and D. Li, Solutions for two dimensional system for materials of Korteweg type, SIAM J. Math. Anal. 25 (1994) 85–98; H. Hattori and D. Li. Global solutions of a high-dimensional system for Korteweg materials. J. Math. Anal. Appl. 198 (1996) 84–97.], where the existence of the classical solution is established for initial data close to an equilibrium in some Sobolev space [math].
      Citation: Analysis and Applications
      PubDate: 2016-05-04T01:15:10Z
      DOI: 10.1142/S0219530516500123
       
  • Stable recovery of sparse signals with coherent tight frames via
           [math]-analysis approach
    • Authors: Dekai Liu, Song Li
      Pages: 1 - 16
      Abstract: Analysis and Applications, Ahead of Print.
      In this paper, we consider to recover a signal which is sparse in terms of a tight frame from undersampled measurements via [math]-minimization problem for [math]. In [Compressed sensing with coherent tight frames via [math]-minimization for [math], Inverse Probl. Imaging 8 (2014) 761–777], Li and Lin proved that when [math] there exists a [math], depending on [math] such that for any [math], each solution of the [math]-minimization problem can approximate the true signal well. The constant [math] is referred to as the [math]-RIP constant of order [math] which was first introduced by Candès et al. in [Compressed sensing with coherent and redundant dictionaries, Appl. Comput. Harmon. Anal. 31 (2011) 59–73]. The main aim of this paper is to give the closed-form expression of [math]. We show that for every [math]-RIP constant [math], if [math] where p̄ = min 1, 50 31(1 − δ2s) ,δ2s ∈ (0, 0.7183),0.4542, δ2s ∈ [0.7183, 0.7729),2(1 − δ2s), δ2s ∈ [0.7729, 1), then the [math]-minimization problem can reconstruct the true signal approximately well. Our main results also hold for the complex case, i.e. the measurement matrix, the tight frame and the signal are all in the complex domain. It should be noted that the[math]-RIP condition is independent of the coherence of the tight frame (see [Compressed sensing with coherent and redundant dictionaries, Appl. Comput. Harmon. Anal. 31 (2011) 59–73]). In particular, when the tight frame reduces to an identity matrix or an orthonormal matrix, the conclusions in our paper coincide with the results appeared in [Stable recovery of sparse signals via [math]-minimization, Appl. Comput. Harmon. Anal. 38 (2015) 161–176].
      Citation: Analysis and Applications
      PubDate: 2016-05-04T01:15:07Z
      DOI: 10.1142/S021953051650010X
       
  • Existence theorems for fractional [math]-Laplacian problems
    • Authors: Paolo Piersanti, Patrizia Pucci
      Pages: 1 - 34
      Abstract: Analysis and Applications, Ahead of Print.
      The paper focuses on the existence of nontrivial solutions of a nonlinear eigenvalue perturbed problem depending on a real parameter [math] under homogeneous boundary conditions in bounded domains with Lipschitz boundary. The problem involves a weighted fractional [math]-Laplacian operator. Denoting by [math] a sequence of eigenvalues obtained via mini–max methods and linking structures we prove the existence of (weak) solutions both when there exists [math] such that [math] and when [math]. The paper is divided into two parts: in the first part existence results are determined when the perturbation is the derivative of a globally positive function whereas, in the second part, the case when the perturbation is the derivative of a function that could be either locally positive or locally negative at [math] is taken into account. In the latter case, it is necessary to extend the main results reported in [A. Iannizzotto, S. Liu, K. Perera and M. Squassina, Existence results for fractional [math]-Laplacian problems via Morse theory, Adv. Calc. Var. 9(2) (2016) 101–125]. In both cases, the existence of solutions is achieved via linking methods.
      Citation: Analysis and Applications
      PubDate: 2016-05-04T01:15:06Z
      DOI: 10.1142/S0219530516500020
       
  • The global solution and nonlinear stability for the coupled CGL–Burgers
           equations for sequential flames in [math]
    • Authors: Xinglong Wu, Boling Guo
      Pages: 1 - 28
      Abstract: Analysis and Applications, Ahead of Print.
      The present paper is devoted to the study of the global solution and nonlinear stability to the coupled complex Ginzburg–Landau and Burgers (CGL–Burgers) equations for sequential flames which describe the interaction of the excited oscillatory and the damped monotonic mode governing a sequential chemical reaction. If the solution blows up in finite time, we derive the lower bound of blow-up rate of blow-up solution.
      Citation: Analysis and Applications
      PubDate: 2016-05-04T01:15:05Z
      DOI: 10.1142/S0219530516500044
       
  • Mathematical analysis of a spatially distributed soil carbon dynamics
           model
    • Authors: Alaaeddine Hammoudi, Oana Iosifescu, Martial Bernoux
      Pages: 1 - 23
      Abstract: Analysis and Applications, Ahead of Print.
      The aim of this paper is to study the mathematical properties of a new model of soil carbon dynamics which is a reaction–diffusion–advection system with a quadratic reaction term. This is a spatial version of Modeling Organic changes by Micro-Organisms of Soil model, recently introduced by M. Pansu and his group. We show here that for any nonnegative initial condition, there exists a unique nonnegative weak solution. Moreover, if we assume time periodicity of model entries, taking into account seasonal effects, we prove existence of a minimal and a maximal periodic weak solution. In a particular case, these two solutions coincide and they become a global attractor of any bounded solution of the periodic system.
      Citation: Analysis and Applications
      PubDate: 2016-05-04T01:15:03Z
      DOI: 10.1142/S0219530516500081
       
  • Spectrum analysis of the linear Fokker–Planck equation
    • Authors: Lan Luo, Hongjun Yu
      Abstract: Analysis and Applications, Ahead of Print.
      In this work, we show the spectrum structure of the linear Fokker–Planck equation by using the semigroup theory and the linear operator perturbation theory. As an application, we show the large time behavior of the solutions to the linear Fokker–Planck equation.
      Citation: Analysis and Applications
      PubDate: 2015-08-17T01:20:02Z
      DOI: 10.1142/S0219530515500219
       
  • Local Hardy spaces associated with inhomogeneous higher order elliptic
           operators
    • Authors: Jun Cao, Svitlana Mayboroda, Dachun Yang
      Pages: 1 - 88
      Abstract: Analysis and Applications, Ahead of Print.
      Let L be a divergence form inhomogeneous higher order elliptic operator with complex bounded measurable coefficients. In this paper, for all p ∈ (0, ∞) and L satisfying a weak ellipticity condition, the authors introduce the local Hardy spaces [math] associated with L, which coincide with Goldberg's local Hardy spaces hp(ℝn) for all p ∈ (0, ∞) when L ≡ -Δ (the Laplace operator). The authors also establish a real-variable theory of [math], which includes their characterizations in terms of the local molecules, the square functions or the maximal functions, the complex interpolation and dual spaces. These real-variable characterizations on the local Hardy spaces are new even when L ≡ -div(A∇) (the divergence form homogeneous second-order elliptic operator). Moreover, the authors show that [math] coincides with the Hardy space [math] associated with the operator L + δ for all p ∈ (0, ∞), where δ is some positive constant depending on the ellipticity and the off-diagonal estimates of L. As an application, the authors establish some mapping properties for the local Riesz transforms [math] on [math], where k ∈ {0,…,m} and p ∈ (0, 2].
      Citation: Analysis and Applications
      PubDate: 2015-08-17T01:20:03Z
      DOI: 10.1142/S0219530515500189
       
  • Periodicity of solutions to the Cauchy problem for nonautonomous impulsive
           delay evolution equations in Banach spaces
    • Authors: Jin Liang, James H. Liu, Ti-Jun Xiao, Hong-Kun Xu
      Pages: 1 - 19
      Abstract: Analysis and Applications, Ahead of Print.
      In this paper, we are concerned with the periodicity of solutions to the Cauchy problem for nonautonomous impulsive delay evolution equations with periodic inhomogenous terms in Banach spaces, where the operators in the linear part (possibly unbounded) depend on the time t and generate an evolution family of linear operators. We first establish two new Gronwall–Bellman-type inequalities, and then prove a new and general existence theorem for periodic mild solutions to the nonautonomous impulsive delay evolution equations, which extends essentially some existing results even for the autonomous case as well as for the case when impulsive perturbations or delays are absent.
      Citation: Analysis and Applications
      PubDate: 2015-08-17T01:20:02Z
      DOI: 10.1142/S0219530515500281
       
  • Geometric classification of semidirect products in the maximal parabolic
           subgroup of Sp(2, ℝ)
    • Authors: Filippo De Mari, Ernesto De Vito, Stefano Vigogna
      Pages: 1 - 19
      Abstract: Analysis and Applications, Ahead of Print.
      We classify up to conjugation by GL(2, ℝ) (more precisely, block diagonal symplectic matrices) all the semidirect products inside the maximal parabolic of Sp(2, ℝ) by means of an essentially geometric argument. This classification has already been established in [G. S. Alberti, L. Balletti, F. De Mari and E. De Vito, Reproducing subgroups of Sp(2, ℝ). Part I: Algebraic classification, J. Fourier Anal. Appl.9(4) (2013) 651–682] without geometry, under a stricter notion of equivalence, namely, conjugation by arbitrary symplectic matrices. The present approach might be useful in higher dimensions and provides some insight.
      Citation: Analysis and Applications
      PubDate: 2015-08-17T01:20:00Z
      DOI: 10.1142/S0219530515500256
       
  • Approximations by multivariate perturbed neural network operators
    • Authors: George A. Anastassiou
      Pages: 1 - 20
      Abstract: Analysis and Applications, Ahead of Print.
      This article deals with the determination of the rate of convergence to the unit of each of three newly introduced here multivariate perturbed normalized neural network operators of one hidden layer. These are given through the multivariate modulus of continuity of the involved multivariate function or its high-order partial derivatives and that appears in the right-hand side of the associated multivariate Jackson type inequalities. The multivariate activation function is very general, especially it can derive from any multivariate sigmoid or multivariate bell-shaped function. The right-hand sides of our convergence inequalities do not depend on the activation function. The sample functionals are of multivariate Stancu, Kantorovich and quadrature types. We give applications for the first partial derivatives of the involved function.
      Citation: Analysis and Applications
      PubDate: 2015-08-17T01:19:59Z
      DOI: 10.1142/S0219530515500293
       
  • A justification of the Timoshenko beam model through Γ-convergence
    • Authors: Lior Falach, Roberto Paroni, Paolo Podio-Guidugli
      Pages: 1 - 17
      Abstract: Analysis and Applications, Ahead of Print.
      We validate the Timoshenko beam model as an approximation of the linear-elasticity model of a three-dimensional beam-like body. Our validation is achieved within the framework of Γ-convergence theory, in two steps: firstly, we construct a suitable sequence of energy functionals; secondly, we show that this sequence Γ-converges to a functional representing the energy of a Timoshenko beam.
      Citation: Analysis and Applications
      PubDate: 2015-08-17T01:19:56Z
      DOI: 10.1142/S0219530515500207
       
  • On nonhomogeneous boundary value problems for the stationary
           Navier–Stokes equations in two-dimensional symmetric semi-infinite
           outlets
    • Authors: M. Chipot, K. Kaulakytė, K. Pileckas, W. Xue
      Pages: 1 - 27
      Abstract: Analysis and Applications, Ahead of Print.
      We study the stationary nonhomogeneous Navier–Stokes problem in a two-dimensional symmetric domain with a semi-infinite outlet (for instance, either paraboloidal or channel-like). Under the symmetry assumptions on the domain, boundary value and external force, we prove the existence of at least one weak symmetric solution without any restriction on the size of the fluxes, i.e. the fluxes of the boundary value a over the inner and the outer boundaries may be arbitrarily large. Only the necessary compatibility condition (the total flux is equal to zero) has to be satisfied. Moreover, the Dirichlet integral of the solution can be finite or infinite depending on the geometry of the domain.
      Citation: Analysis and Applications
      PubDate: 2015-08-17T01:19:54Z
      DOI: 10.1142/S0219530515500268
       
  • Moment classification of infinite energy solutions to the homogeneous
           Boltzmann equation
    • Authors: Yoshinori Morimoto, Shuaikun Wang, Tong Yang
      Pages: 1 - 21
      Abstract: Analysis and Applications, Ahead of Print.
      In this paper, we will introduce a precise classification of characteristic functions in the Fourier space according to the moment constraint in the physical space of any order. Based on this, we construct measure-valued solutions to the homogeneous Boltzmann equation with the exact moment condition as the initial data.
      Citation: Analysis and Applications
      PubDate: 2015-08-17T01:19:54Z
      DOI: 10.1142/S0219530515500232
       
  • Weighted maximal estimates along curve associated with dispersive
           equations
    • Authors: Yong Ding, Yaoming Niu
      Pages: 1 - 16
      Abstract: Analysis and Applications, Ahead of Print.
      In the present paper, we give the local and global weighted Lq maximal estimate for the operator [math], which is defined by $$e^{it\phi(\sqrt{-\Delta})} f(\gamma(x,t)) = (2\pi)^{-1} \int_{{\mathbb R}} e^{i\gamma(x,t)\,{\cdot}\,\xi\,{+}\,it\phi( \xi )}\hat{f}(\xi)d\xi,$$ where ϕ satisfies some growth conditions, [math] is a pseudo-differential operator with symbol ϕ( ξ ) and γ : ℝ × ℝ → ℝ satisfies Hölder's condition of order α and bilipschitz conditions. As a corollary of the above conclusions, we show that if f ∈ Hs(ℝ) for s ≥ ¼ and ½ ≤ α ≤ 1, then $$\mathop{\rm lim}\limits_{t\rightarrow 0}e^{it\phi(\sqrt{-\Delta})}f(\gamma(x,t)) = f(x),\quad {\rm a.e.} x \in {\mathbb R}. \qquad\qquad\qquad (*)$$ In particular, if taking ϕ(r) = r2, then this improves a result in [C. Cho, S. Lee and A. Vargas, Problems on pointwise convergence of solutions to the Schrödinger equation, J. Fourier Anal. Appl.18 (2012) 972–994], where (*) holds for s > ¼ only.
      Citation: Analysis and Applications
      PubDate: 2015-08-17T01:19:53Z
      DOI: 10.1142/S021953051550027X
       
 
 
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