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  Subjects -> MATHEMATICS (Total: 1021 journals)
    - APPLIED MATHEMATICS (83 journals)
    - GEOMETRY AND TOPOLOGY (21 journals)
    - MATHEMATICS (757 journals)
    - MATHEMATICS (GENERAL) (43 journals)
    - NUMERICAL ANALYSIS (22 journals)
    - PROBABILITIES AND MATH STATISTICS (95 journals)

MATHEMATICS (757 journals)            First | 1 2 3 4     

Showing 401 - 538 of 538 Journals sorted alphabetically
Journal of Knot Theory and Its Ramifications     Hybrid Journal   (Followers: 1)
Journal of Kufa for Mathematics and Computer     Open Access   (Followers: 1)
Journal of Liquid Chromatography & Related Technologies     Hybrid Journal   (Followers: 7)
Journal of Logical and Algebraic Methods in Programming     Hybrid Journal  
Journal of Manufacturing Systems     Full-text available via subscription   (Followers: 4)
Journal of Mathematical Analysis and Applications     Full-text available via subscription   (Followers: 3)
Journal of mathematical and computational science     Open Access   (Followers: 7)
Journal of Mathematical and Fundamental Sciences     Open Access  
Journal of Mathematical Behavior     Hybrid Journal   (Followers: 2)
Journal of Mathematical Chemistry     Hybrid Journal   (Followers: 3)
Journal of Mathematical Cryptology     Hybrid Journal   (Followers: 1)
Journal of Mathematical Extension     Open Access   (Followers: 3)
Journal of Mathematical Finance     Open Access   (Followers: 7)
Journal of Mathematical Imaging and Vision     Hybrid Journal   (Followers: 6)
Journal of Mathematical Logic     Hybrid Journal   (Followers: 2)
Journal of Mathematical Modelling and Algorithms     Hybrid Journal   (Followers: 1)
Journal of Mathematical Neuroscience     Open Access   (Followers: 9)
Journal of Mathematical Sciences     Hybrid Journal  
Journal of Mathematical Sciences and Applications     Open Access   (Followers: 2)
Journal of Mathematical Sociology     Hybrid Journal   (Followers: 3)
Journal of Mathematics     Open Access  
Journal of Mathematics and Statistics     Open Access   (Followers: 8)
Journal of Mathematics and the Arts     Hybrid Journal   (Followers: 2)
Journal of Mathematics in Industry     Open Access  
Journal of Mathematics Research     Open Access   (Followers: 6)
Journal of Metallurgy     Open Access   (Followers: 7)
Journal of Modern Mathematics Frontier     Open Access  
Journal of Multidisciplinary Modeling and Optimization     Open Access  
Journal of Multivariate Analysis     Hybrid Journal   (Followers: 13)
Journal of Natural Sciences and Mathematics Research     Open Access  
Journal of Nonlinear Analysis and Optimization : Theory & Applications     Open Access   (Followers: 4)
Journal of Nonlinear Mathematical Physics     Hybrid Journal   (Followers: 1)
Journal of Nonlinear Science     Hybrid Journal  
Journal of Numerical Cognition     Open Access  
Journal of Numerical Mathematics     Hybrid Journal   (Followers: 2)
Journal of Optimization     Open Access   (Followers: 4)
Journal of Problem Solving     Open Access   (Followers: 2)
Journal of Progressive Research in Mathematics     Open Access  
Journal of Pseudo-Differential Operators and Applications     Hybrid Journal  
Journal of Pure and Applied Algebra     Full-text available via subscription   (Followers: 4)
Journal of Quantitative Analysis in Sports     Hybrid Journal   (Followers: 8)
Journal of Quantitative Linguistics     Hybrid Journal   (Followers: 6)
Journal of Scientific Computing     Hybrid Journal   (Followers: 18)
Journal of Scientific Research     Open Access  
Journal of Symbolic Computation     Hybrid Journal   (Followers: 1)
Journal of the Australian Mathematical Society     Full-text available via subscription  
Journal of the Egyptian Mathematical Society     Open Access  
Journal of the European Mathematical Society     Full-text available via subscription  
Journal of the Indian Mathematical Society     Hybrid Journal   (Followers: 1)
Journal of the Institute of Mathematics of Jussieu     Hybrid Journal  
Journal of the London Mathematical Society     Hybrid Journal   (Followers: 2)
Journal of the Nigerian Mathematical Society     Open Access   (Followers: 1)
Journal of Theoretical and Applied Physics     Open Access   (Followers: 8)
Journal of Topology and Analysis     Hybrid Journal  
Journal of Transport and Supply Chain Management     Open Access   (Followers: 14)
Journal of Turbulence     Hybrid Journal   (Followers: 7)
Journal of Uncertainty Analysis and Applications     Open Access  
Journal of Universal Mathematics     Open Access  
Journal of Urban Regeneration & Renewal     Full-text available via subscription   (Followers: 10)
Journal of Water and Land Development     Open Access   (Followers: 3)
JRAMathEdu : Journal of Research and Advances in Mathematics Education     Open Access   (Followers: 3)
JURING (Journal for Research in Mathematics Learning)     Open Access   (Followers: 1)
Jurnal Ilmiah AdMathEdu     Open Access  
Jurnal Matematika     Open Access   (Followers: 1)
Jurnal Matematika Integratif     Open Access  
Jurnal Matematika, Sains, Dan Teknologi     Open Access  
Jurnal Natural     Open Access  
Jurnal Pendidikan Matematika Raflesia     Open Access  
Jurnal Penelitian Pembelajaran Matematika Sekolah     Open Access  
Jurnal Penelitian Sains (JPS)     Open Access  
Jurnal Riset Pendidikan Matematika     Open Access  
Jurnal Sains Matematika dan Statistika     Open Access  
Jurnal Tadris Matematika     Open Access  
Jurnal Teknologi dan Sistem Komputer     Open Access  
Kreano, Jurnal Matematika Kreatif-Inovatif     Open Access   (Followers: 5)
Le Matematiche     Open Access  
Learning and Teaching Mathematics     Full-text available via subscription   (Followers: 7)
Lettera Matematica     Hybrid Journal  
Limits : Journal of Mathematics and Its Applications     Open Access   (Followers: 1)
Linear Algebra and its Applications     Full-text available via subscription   (Followers: 18)
Linear and Multilinear Algebra     Hybrid Journal   (Followers: 8)
Lithuanian Mathematical Journal     Hybrid Journal  
LMS Journal of Computation and Mathematics     Free  
Lobachevskii Journal of Mathematics     Open Access  
Logic and Analysis     Hybrid Journal  
Logic Journal of the IGPL     Hybrid Journal  
Logica Universalis     Hybrid Journal  
manuscripta mathematica     Hybrid Journal  
MaPan : Jurnal Matematika dan Pembelajaran     Open Access  
Marine Genomics     Hybrid Journal   (Followers: 2)
Matemáticas, Educación y Sociedad     Open Access  
Matematicheskie Zametki     Full-text available via subscription  
Matematika     Open Access  
Matematychni Studii     Open Access  
Mathematica Eterna     Open Access  
Mathematica Scandinavica     Open Access   (Followers: 1)
Mathematica Slovaca     Hybrid Journal   (Followers: 1)
Mathematical and Computational Forestry & Natural-Resource Sciences     Free  
Mathematical Communications     Open Access  
Mathematical Computation     Open Access   (Followers: 1)
Mathematical Geosciences     Hybrid Journal   (Followers: 3)
Mathematical Medicine and Biology: A Journal of the IMA     Hybrid Journal   (Followers: 1)
Mathematical Methods in the Applied Sciences     Hybrid Journal   (Followers: 3)
Mathematical Methods of Statistics     Hybrid Journal   (Followers: 4)
Mathematical Modelling and Analysis     Open Access   (Followers: 1)
Mathematical Modelling in Civil Engineering     Open Access   (Followers: 5)
Mathematical Modelling of Natural Phenomena     Full-text available via subscription   (Followers: 1)
Mathematical Models and Methods in Applied Sciences     Hybrid Journal   (Followers: 2)
Mathematical Notes     Hybrid Journal  
Mathematical Proceedings of the Cambridge Philosophical Society     Full-text available via subscription   (Followers: 1)
Mathematical Programming Computation     Hybrid Journal   (Followers: 3)
Mathematical Sciences     Open Access  
Mathematical Social Sciences     Hybrid Journal   (Followers: 1)
Mathematical Theory and Modeling     Open Access   (Followers: 13)
Mathematical Thinking and Learning     Hybrid Journal   (Followers: 3)
Mathematics and Statistics     Open Access   (Followers: 5)
Mathematics Education Journal     Open Access   (Followers: 1)
Mathematics Education Research Journal     Partially Free   (Followers: 17)
Mathematics in Science and Engineering     Full-text available via subscription  
Mathematics of Control, Signals, and Systems (MCSS)     Hybrid Journal   (Followers: 4)
Mathematics of Quantum and Nano Technologies     Open Access  
Mathématiques et sciences humaines     Open Access   (Followers: 7)
Mathematische Annalen     Hybrid Journal   (Followers: 1)
Mathematische Nachrichten     Hybrid Journal   (Followers: 1)
Mathematische Semesterberichte     Hybrid Journal  
Mathematische Zeitschrift     Hybrid Journal   (Followers: 1)
MATI : Mathematical Aspects of Topological Indeces     Open Access  
MATICS     Open Access   (Followers: 1)
Matrix Science Mathematic     Open Access  
Measurement Science Review     Open Access   (Followers: 3)
Mediterranean Journal of Mathematics     Hybrid Journal  
Memetic Computing     Hybrid Journal  
Mendel : Soft Computing Journal     Open Access  
Metals and Materials International     Hybrid Journal  
Metascience     Hybrid Journal   (Followers: 1)
Milan Journal of Mathematics     Hybrid Journal  
Mitteilungen der DMV     Hybrid Journal  
MLQ- Mathematical Logic Quarterly     Hybrid Journal  
Monatshefte fur Mathematik     Hybrid Journal  
Moroccan Journal of Pure and Applied Analysis     Open Access   (Followers: 4)
Moscow University Mathematics Bulletin     Hybrid Journal  
MSOR Connections     Open Access   (Followers: 1)
Multiscale Modeling and Simulation     Hybrid Journal   (Followers: 3)
MUST : Journal of Mathematics Education, Science and Technology     Open Access   (Followers: 1)
Nagoya Mathematical Journal     Hybrid Journal  
Nano Research     Hybrid Journal   (Followers: 3)
Nanotechnologies in Russia     Hybrid Journal   (Followers: 1)
Natural Resource Modeling     Hybrid Journal  
New Mathematics and Natural Computation     Hybrid Journal  
Nonlinear Analysis : Modelling and Control     Open Access  
Nonlinear Analysis : Theory, Methods & Applications     Hybrid Journal   (Followers: 1)
Nonlinear Analysis: Hybrid Systems     Hybrid Journal  
Nonlinear Analysis: Real World Applications     Hybrid Journal   (Followers: 2)
Nonlinear Differential Equations and Applications NoDEA     Hybrid Journal  
Nonlinear Engineering     Open Access  
Nonlinear Oscillations     Hybrid Journal   (Followers: 1)
North Carolina Journal of Mathematics and Statistics     Open Access  
North-Holland Mathematical Library     Full-text available via subscription   (Followers: 1)
North-Holland Mathematics Studies     Full-text available via subscription  
North-Holland Series in Applied Mathematics and Mechanics     Full-text available via subscription   (Followers: 1)
Note di Matematica     Open Access  
NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin     Hybrid Journal   (Followers: 4)
Numeracy : Advancing Education in Quantitative Literacy     Open Access  
Numerical Analysis and Applications     Hybrid Journal   (Followers: 1)
Numerical Functional Analysis and Optimization     Hybrid Journal   (Followers: 2)
Numerical Linear Algebra with Applications     Hybrid Journal   (Followers: 4)
Numerical Mathematics : Theory, Methods and Applications     Full-text available via subscription  
Numerische Mathematik     Hybrid Journal  
Open Journal of Discrete Mathematics     Open Access   (Followers: 5)
Open Journal of Modelling and Simulation     Open Access   (Followers: 1)
Open Mathematics     Open Access   (Followers: 1)
Operations Research Letters     Hybrid Journal   (Followers: 11)
Optimization Letters     Hybrid Journal   (Followers: 2)
Optimization Methods and Software     Hybrid Journal   (Followers: 7)
Opuscula Mathematica     Open Access   (Followers: 108)
Order     Hybrid Journal  
ORiON     Open Access  
P-Adic Numbers, Ultrametric Analysis, and Applications     Hybrid Journal  
PAMM : Proceedings in Applied Mathematics and Mechanics     Free   (Followers: 1)
Parallel Processing Letters     Hybrid Journal   (Followers: 3)
Periodica Mathematica Hungarica     Full-text available via subscription   (Followers: 1)
Perspectivas da Educação Matemática     Open Access  
Petroleum Science     Full-text available via subscription   (Followers: 1)
Philosophia Mathematica     Hybrid Journal   (Followers: 1)
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences     Full-text available via subscription   (Followers: 6)
PNA. Revista de Investigación en Didáctica de la Matemática     Open Access  
Polar Science     Hybrid Journal   (Followers: 3)
Positivity     Hybrid Journal  
Prague Bulletin of Mathematical Linguistics, The     Open Access  
Press Start     Open Access  
Prime Number     Full-text available via subscription  
PRIMS     Full-text available via subscription  
Probability in the Engineering and Informational Sciences     Hybrid Journal   (Followers: 1)
Problemy Peredachi Informatsii     Full-text available via subscription  
Proceedings - Mathematical Sciences     Open Access   (Followers: 5)
Proceedings of the American Mathematical Society, Series B     Open Access   (Followers: 1)
Proceedings of the Edinburgh Mathematical Society     Hybrid Journal  
Proceedings of the Institution of Civil Engineers - Engineering and Computational Mechanics     Hybrid Journal   (Followers: 2)
Proceedings of the Latvian Academy of Sciences. Section B: Natural, Exact and Applied Sciences     Open Access  
Proceedings of the London Mathematical Society     Hybrid Journal   (Followers: 3)

  First | 1 2 3 4     

Similar Journals
Journal Cover
Journal of Mathematical Analysis and Applications
Journal Prestige (SJR): 1.103
Citation Impact (citeScore): 1
Number of Followers: 3  
 
  Full-text available via subscription Subscription journal
ISSN (Print) 0022-247X - ISSN (Online) 1096-0813
Published by Elsevier Homepage  [3184 journals]
  • Heat kernels for time-dependent non-symmetric stable-like operators
    • Authors: Zhen-Qing Chen; Xicheng Zhang
      Pages: 1 - 21
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Zhen-Qing Chen, Xicheng Zhang
      When studying non-symmetric nonlocal operators on R d : L f ( x ) = ∫ R d ( f ( x + z ) − f ( x ) − ∇ f ( x ) ⋅ z 1 { z ⩽ 1 } ) κ ( x , z ) z d + α d z , where 0 < α < 2 , d ⩾ 1 , and κ ( x , z ) is a function on R d × R d that is bounded between two positive constants, it is customary to assume that κ ( x , z ) is symmetric in z. In this paper, we study heat kernel of L and derive its two-sided sharp bounds without the symmetric assumption κ ( x , z ) = κ ( x , − z ) . In fact, we allow the kernel κ to be time-dependent and x → κ ( t , x , z ) to be only locally β-Hölder continuous with Hölder constant possibly growing at a polynomial rate in z . We also derive gradient estimate when β ∈ ( 0 ∨ ( 1 − α ) , 1 ) as well as fractional derivative estimate of order θ ∈ ( 0 , ( α + β ) ∧ 2 ) for the heat kernel. Moreover, when α ∈ ( 1 , 2 ) , drift perturbation of the time-dependent non-local operator L t with drift in Kato's class is also studied in this paper. As an application, when κ ( x , z ) = κ ( z ) does not depend on x, we show the boundedness of nonlocal Riesz's transformation: for any p > 2 d / ( d + α ) , ‖ L 1 / 2 f ‖ p...
      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.03.054
       
  • Explicit zero density for the Riemann zeta function
    • Authors: Habiba Kadiri; Allysa Lumley; Nathan Ng
      Pages: 22 - 46
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Habiba Kadiri, Allysa Lumley, Nathan Ng
      Let N ( σ , T ) denote the number of nontrivial zeros of the Riemann zeta function with real part greater than σ and imaginary part between 0 and T. We provide explicit upper bounds for N ( σ , T ) commonly referred to as a zero density result. In 1937, Ingham showed the following asymptotic result N ( σ , T ) = O ( T 8 3 ( 1 − σ ) ( log ⁡ T ) 5 ) . Ramaré recently proved an explicit version of this estimate. We discuss a generalization of the method used in these two results which yields an explicit bound of a similar shape while also improving the constants.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.04.071
       
  • Extremes of vector-valued Gaussian processes with Trend
    • Authors: Long Bai; Krzysztof Dȩbicki; Peng Liu
      Pages: 47 - 74
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Long Bai, Krzysztof Dȩbicki, Peng Liu
      Let X ( t ) = ( X 1 ( t ) , … , X n ( t ) ) , t ∈ T ⊂ R be a centered vector-valued Gaussian process with independent components and continuous trajectories, and h ( t ) = ( h 1 ( t ) , … , h n ( t ) ) , t ∈ T be a vector-valued continuous function. We investigate the asymptotics of P { sup t ∈ T ⁡ min 1 ≤ i ≤ n ⁡ ( X i ( t ) + h i ( t ) ) > u } as u → ∞ . As an illustration to the derived results we analyze two important classes of X ( t ) : with locally-stationary structure and with varying variances of the coordinates, and calculate exact asymptotics of simultaneous ruin probability and ruin time in a Gaussian risk model.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.04.069
       
  • Decay of solutions to parabolic-type problem with distributed order Caputo
           derivative
    • Authors: Adam Kubica; Katarzyna Ryszewska
      Pages: 75 - 99
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Adam Kubica, Katarzyna Ryszewska
      We consider the decay of solution to a fractional diffusion equation with distributed order Caputo derivative. We assume that the elliptic operator is time-dependent and that the weight function, contained in the definition of the distributed order Caputo derivative, is just integrable. We establish the relation between behavior of the weight function near zero and the decay rate of solution.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.04.067
       
  • Micromotions and controllability of a swimming model in an incompressible
           fluid governed by 2-D or 3-D Navier–Stokes equations
    • Authors: Piermarco Cannarsa; Alexander Khapalov
      Pages: 100 - 124
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Piermarco Cannarsa, Alexander Khapalov
      We study the local controllability properties of generic 2-D and 3-D bio-mimetic swimmers employing the change of their geometric shape to propel themselves in an incompressible fluid described by the Navier–Stokes equations. It is assumed that swimmers' bodies consist of finitely many parts, identified with the fluid they occupy, that are subsequently linked by the rotational and elastic internal forces. These forces are explicitly described and serve as the means to affect the geometric configuration of swimmers' bodies. Similar models were previously introduced and investigated in [3–10].

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.04.066
       
  • Topological transitivity and mixing of composition operators
    • Authors: Frédéric Bayart; Udayan B. Darji; Benito Pires
      Pages: 125 - 139
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Frédéric Bayart, Udayan B. Darji, Benito Pires
      Let X = ( X , B , μ ) be a σ-finite measure space and f : X → X be a measurable transformation such that the composition operator T f : φ ↦ φ ∘ f is a bounded linear operator acting on L p ( X , B , μ ) , 1 ≤ p < ∞ . We provide a necessary and sufficient condition on f for T f to be topologically transitive or topologically mixing. We also characterize the topological dynamics of composition operators induced by weighted shifts, non-singular odometers and inner functions. The results provided in this article hold for composition operators acting on more general Banach spaces of functions.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.04.063
       
  • Existence and concentration of ground states for a Choquard equation with
           competing potentials
    • Authors: Fubao Zhang; Hui Zhang
      Pages: 159 - 174
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Fubao Zhang, Hui Zhang
      In this paper, we are concerned with the following Choquard equation in R 3 that − ϵ 2 Δ u + V ( x ) u = ϵ μ − 3 [ ( ∫ R 3 P ( y ) u ( y ) p x − y μ ) P ( x ) u p − 2 u + ( ∫ R 3 Q ( y ) u ( y ) q x − y μ ) Q ( x ) u q − 2 u ] , where ϵ > 0 is a parameter, 0 < μ < 3 , 6 − μ 3 < q < p < 6 − μ , the functions V and P are positive and Q may be sign-changing. Via variational methods, we establish the existence of ground states for small ϵ, and investigate the concentration behavior of ground states and show that they concentrate at a global minimum point of the least energy function as ϵ → 0 .

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.04.065
       
  • Local solvability for a class of linear operators in Besov and Hölder
           spaces
    • Authors: Evandro Raimundo da Silva
      Pages: 175 - 195
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Evandro Raimundo da Silva
      We show local solvability in Besov spaces for a class of first order linear operators L defined on an open set of R n + 1 , n ∈ N , satisfying the condition (P) of Nirenberg–Treves and whose coefficients are Hölder continuous. Moreover, when n = 1 , we show local solvability for L in L ∞ ( R , B ∞ , ∞ s ( R ) ) , B ∞ , ∞ s ( R 2 ) and L q ( R , B p , q s ( R ) ) , 1 < p < ∞ , 1 ≤ q ≤ ∞ , s ∈ R . Recalling that C s = B ∞ , ∞ s , if s > 0 and not an integer (Hölder space), then we have local solvability for L in L ∞ ( R , C s ( R ) ) and C s ( R 2 ) .

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.04.077
       
  • A Schwarz lemma at the boundary using the Julia–Wolff–Carathéodory
           type condition on finite dimensional irreducible bounded symmetric domains
           
    • Authors: Hidetaka Hamada
      Pages: 196 - 210
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Hidetaka Hamada
      In this paper, we prove a Schwarz lemma at the boundary for holomorphic self-mappings f of finite dimensional irreducible bounded symmetric domains without assuming the boundary regularity of f. Our result generalizes the previous results obtained for holomorphic self-mappings f of the Euclidean unit ball, or of the classical Cartan domains of type I and of type II which are smooth up to the boundary.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.04.076
       
  • Some overdetermined problems related to the anisotropic capacity
    • Authors: Chiara Bianchini; Giulio Ciraolo; Paolo Salani
      Pages: 211 - 219
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Chiara Bianchini, Giulio Ciraolo, Paolo Salani
      We characterize the Wulff shape of an anisotropic norm in terms of solutions to overdetermined problems for the Finsler p-capacity of a convex set Ω ⊂ R N , with 1 < p < N . In particular we show that if the Finsler p-capacitary potential u associated to Ω has two homothetic level sets then Ω is Wulff shape. Moreover, we show that the concavity exponent of u is q = − ( p − 1 ) / ( N − p ) if and only if Ω is Wulff shape.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.04.075
       
  • New criteria for the monotonicity of the ratio of two Abelian integrals
    • Authors: Changjian Liu; Guoting Chen; Zhongqin Sun
      Pages: 220 - 234
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Changjian Liu, Guoting Chen, Zhongqin Sun
      New criteria to determine the monotonicity of the ratio of two Abelian integrals are given. When two Abelian integrals have the forms ∫ Γ h f 1 ( x ) y d x and ∫ Γ h f 2 ( x ) y d x or the forms ∫ Γ h f 1 ( x ) y d x and ∫ Γ h f 2 ( x ) y d x and Γ h are ovals belonging to the level set { ( x , y ) H ( x , y ) = h } , where H ( x , y ) has the form y 2 / 2 + Ψ ( x ) or ϕ ( x ) y 2 / 2 + Ψ ( x ) , we give new criteria, which are defined directly by the functions which appear in the above Abelian integrals, and prove that the monotonicity of the criteria implies the monotonicity of the ratios of the Abelian integrals. The new criteria are applicable in a large class of problems, some of which simplify the existing proofs and some of which generalize known results.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.04.074
       
  • Relationships between K-monotonicity and rotundity properties with
           application
    • Authors: Maciej Ciesielski
      Pages: 235 - 258
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Maciej Ciesielski
      In this paper we investigate a relationship between fully k-rotundity properties, uniform K-monotonicity properties, reflexivity and K-order continuity in symmetric spaces E. We also answer a crucial question whether fully k-rotundity properties might be restricted in definition to E d the positive cone of all nonnegative and decreasing elements of E. We present a complete characterization of decreasing uniform K-monotonicity and K-order continuity in E. It is worth mentioning that we also establish several auxiliary results describing reflexivity in Lorentz spaces Γ p , w and K-order continuity in Orlicz spaces L ψ . Finally, we show an application of discussed geometric properties to the approximation theory.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.008
       
  • A Taylor expansion of the square root matrix function
    • Authors: P. Del Moral; A. Niclas
      Pages: 259 - 266
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): P. Del Moral, A. Niclas
      This short note provides an explicit description of the Fréchet derivatives of the principal square root matrix function at any order. We present an original formulation that allows to compute sequentially the Fréchet derivatives of the matrix square root at any order starting from the first order derivative. A Taylor expansion at any order with an integral remainder term is also provided, yielding the first result of this type for this class of matrix function.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.005
       
  • More accurate operator means inequalities
    • Authors: Ibrahim Halil Gümüş; Hamid Reza Moradi; Mohammad Sababheh
      Pages: 267 - 280
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Ibrahim Halil Gümüş, Hamid Reza Moradi, Mohammad Sababheh
      Our main target in this paper is to present new sharp bounds for inequalities that result when weighted operator means are filtered through positive linear maps and operator monotone functions. As an application, we prove a refined reverse of the celebrated Golden–Thompson inequality. Furthermore, we show how these inequalities can be squared.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.003
       
  • Existence and asymptotic stability of time periodic solutions to the
           generalized double dispersion equation with periodic external force
    • Authors: Yinxia Wang; Ling Xue
      Pages: 281 - 296
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Yinxia Wang, Ling Xue
      In this paper, we investigate the generalized double dispersion equation with periodic external force in R n . We prove the existence and uniqueness of time periodic solutions that have the same period as the external force in some suitable function space for the space dimension n ≥ 3 . The proof is based on the spectral analysis for the solution operator and the contraction mapping theorem. In addition, we also discuss the time asymptotic stability of the time periodic solutions by continuous argument.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.002
       
  • Lower bounds for the Lipschitz constants of some classical fixed point
           free maps
    • Authors: J. Ferrer; E. Llorens-Fuster
      Pages: 297 - 308
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): J. Ferrer, E. Llorens-Fuster
      We find lower bounds for the set of Lipschitz constants of a given Lipschitzian map, defined on the closed unit ball of a Hilbert space, with respect to any renorming. We introduce a class of maps, defined in the closed unit ball of ℓ 2 , which contains the classical fixed point free maps due to Goebel–Kirk–Thelle, Baillon, and P.K. Lin. We show that for any map of this class its uniform Lipschitz constant with respect to any renorming of ℓ 2 is never strictly less than π 2 .

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.001
       
  • Convolution operators on group algebras which are tauberian or cotauberian
    • Authors: Liliana Cely; Elói M. Galego; Manuel González
      Pages: 309 - 317
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Liliana Cely, Elói M. Galego, Manuel González
      We study the convolution operators T μ acting on the group algebras L 1 ( G ) and M ( G ) , where G is a locally compact abelian group and μ is a complex Borel measure on G. We show that a cotauberian convolution operator T μ acting on L 1 ( G ) is Fredholm of index zero, and that T μ is tauberian if and only if so is the corresponding convolution operator acting on the algebra of measures M ( G ) , and we give some applications of these results.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.007
       
  • Completely linear degeneracy for quasilinear hyperbolic systems
    • Authors: Yuzhu Wang; Changhua Wei
      Pages: 318 - 330
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Yuzhu Wang, Changhua Wei
      In this paper, we introduce a new concept of completely linear degeneracy for quasilinear hyperbolic systems in several space variables, and then get an interesting property for multidimensional hyperbolic conservation laws satisfying our new definition. For applications, we give some examples arising from mathematics and physics at last.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.006
       
  • Recovering functions from the spherical mean transform with limited radii
           data by expansion into spherical harmonics
    • Authors: Yehonatan Salman
      Pages: 331 - 347
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Yehonatan Salman
      The aim of the article is to generalize the method presented in [3, Theorem 1] by G. Ambartsoumian, R. Gouia-Zarrad and M. Lewis for recovering functions from their spherical mean transform with limited radii data from the two dimensional case to the general n dimensional case. The idea behind the method is to expand each function in question into spherical harmonics and then obtain, for each term in the expansion, an integral equation of Volterra's type that can be solved iteratively. We show also how this method can be modified for the spherical case of recovering functions from the spherical transform with limited radii data. Lastly, we solve the analogous problem for the case of the Funk transform by again using expansion into spherical harmonics and then obtain an Abel type integral equation which can be inverted by a method introduced in [14].

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.019
       
  • On the entire functions from the Laguerre–Pólya class having the
           decreasing second quotients of Taylor coefficients
    • Authors: Thu Hien Nguyen; Anna Vishnyakova
      Pages: 348 - 358
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Thu Hien Nguyen, Anna Vishnyakova
      For an entire function f ( z ) = ∑ k = 0 ∞ a k z k , a k > 0 , we show that f belongs to the Laguerre–Pólya class if the quotients a n − 1 2 / a n − 2 a n are decreasing in n, and b : = lim n → ∞ ⁡ a n − 1 2 / a n − 2 a n such that b ≥ q ∞ ( q ∞ ≈ 3 . 2336 ) . This estimation is sharp.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.018
       
  • Maximum principle for an optimal control problem associated to a SPDE with
           nonlinear boundary conditions
    • Authors: Stefano Bonaccorsi; Adrian Zălinescu
      Pages: 359 - 378
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Stefano Bonaccorsi, Adrian Zălinescu
      We study a control problem where the state equation is a nonlinear partial differential equation of the calculus of variation in a bounded domain, perturbed by noise. We allow the control to act on the boundary and set boundary conditions which result in a stochastic differential equation for the trace of the solution on the boundary. This work provides necessary and sufficient conditions of optimality in the form of a maximum principle. We also provide a result of existence for the optimal control in the case where the control acts linearly.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.016
       
  • Dynamical boundary conditions in a non-cylindrical domain for the Laplace
           equation
    • Authors: Pedro T. P. Lopes; Marcone C. Pereira
      Pages: 379 - 402
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Pedro T. P. Lopes, Marcone C. Pereira
      In this paper, we study existence, uniqueness and asymptotic behavior of the Laplace equation with dynamical boundary conditions on regular non-cylindrical domains. We write the problem as a non-autonomous Dirichlet-to-Neumann operator and use form methods in a more general framework to accomplish our goal. A class of non-autonomous elliptic problems with dynamical boundary conditions on Lipschitz domains is also considered in this same context.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.015
       
  • The maximum principle and sign changing solutions of the hyperbolic
           equation with the Higgs potential
    • Authors: Karen Yagdjian; Andras Balogh
      Pages: 403 - 422
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Karen Yagdjian, Andras Balogh
      In this article we discuss the maximum principle for the linear equation and the sign changing solutions of the semilinear equation with the Higgs potential. Numerical simulations indicate that the bubbles for the semilinear Klein–Gordon equation in the de Sitter space–time are created and apparently exist for all times.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.014
       
  • Asymptotics to all orders of the Hurwitz zeta function
    • Authors: Arran Fernandez; Athanassios S. Fokas
      Pages: 423 - 458
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Arran Fernandez, Athanassios S. Fokas
      We present several formulae for the large-t asymptotics of the modified Hurwitz zeta function ζ 1 ( x , s ) , x > 0 , s = σ + i t , 0 < σ ≤ 1 , t > 0 , which are valid to all orders. In the case of x = 0 , these formulae are consistent with the asymptotic expressions recently obtained for the Riemann zeta function, which include the classical results of Siegel as a particular case.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.012
       
  • Global well-posedness of 3-D inhomogeneous Navier–Stokes system with
           initial velocity being a small perturbation of 2-D solenoidal vector field
           
    • Authors: Yuhui Chen; Jingchi Huang
      Pages: 459 - 499
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Yuhui Chen, Jingchi Huang
      Motivated by [21], we consider the global wellposedness to the 3-D incompressible inhomogeneous Navier–Stokes equations with large horizontal velocity. In particular, we proved that when the initial density is close enough to a positive constant, then given divergence free initial velocity field of the type ( v 0 h , 0 ) ( x h ) + ( w 0 h , w 0 3 ) ( x h , x 3 ) , we shall prove the global wellposedness of (1.1). The main difficulty here lies in the fact that we will have to obtain the L 1 ( R + ; Lip ( R 3 ) ) estimate for convection velocity in the transport equation of (1.1). Toward this and due to the strong anisotropic properties of the approximate solutions, we will have to work in the framework of anisotropic Littlewood–Paley theory here.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.011
       
  • A construction of two different solutions to an elliptic system
    • Authors: Jacek Cyranka; Piotr Bogusław Mucha
      Pages: 500 - 530
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Jacek Cyranka, Piotr Bogusław Mucha
      The paper aims at constructing two different solutions to an elliptic system u ⋅ ∇ u + ( − Δ ) m u = λ F defined on the two dimensional torus. It can be viewed as an elliptic regularization of the stationary Burgers 2D system. A motivation to consider the above system comes from an examination of unusual properties of the linear operator λ sin ⁡ y ∂ x w + ( − Δ ) m w arising from a linearization of the equation about the dominant part of F. We argue that the skew-symmetric part of the operator provides in some sense a smallness of norms of the linear operator inverse. Our analytical proof is valid for a particular force F and for λ > λ 0 , m > m 0 sufficiently large. The main steps of the proof concern finite dimension approximation of the system and concentrate on analysis of features of large matrices, which resembles standard numerical analysis. Our analytical results are illustrated by numerical simulations.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.010
       
  • Hilbert-Schmidtness of some finitely generated submodules in H2(D2)
    • Authors: Shuaibing Luo; Kei Ji Izuchi; Rongwei Yang
      Pages: 531 - 546
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Shuaibing Luo, Kei Ji Izuchi, Rongwei Yang
      A closed subspace M of the Hardy space H 2 ( D 2 ) over the bidisk is called a submodule if it is invariant under multiplication by coordinate functions z 1 and z 2 . Whether every finitely generated submodule is Hilbert–Schmidt is an unsolved problem. This paper proves that every finitely generated submodule M containing z 1 − φ ( z 2 ) is Hilbert–Schmidt, where φ is any finite Blaschke product. Some other related topics such as fringe operator and Fredholm index are also discussed.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.021
       
  • Multipliers and equivalences between Toeplitz kernels
    • Authors: M. Cristina Câmara; Jonathan R. Partington
      Pages: 557 - 570
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): M. Cristina Câmara, Jonathan R. Partington
      Multipliers between kernels of Toeplitz operators are characterised in terms of test functions (so-called maximal vectors for the kernels); these maximal vectors may easily be parametrised in terms of inner and outer factorisations. Immediate applications to model spaces are derived. The case of surjective multipliers is also analysed. These ideas are applied to describing equivalences between two Toeplitz kernels.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.023
       
  • Sharp vanishing order of solutions to stationary Schrödinger equations on
           Carnot groups of arbitrary step
    • Authors: Agnid Banerjee
      Pages: 571 - 587
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Agnid Banerjee
      Based on a variant of the frequency function approach of Almgren ([1]), under appropriate assumptions we establish an optimal upper bound on the vanishing order of solutions to stationary Schrödinger equations associated to sub-Laplacian on Carnot groups of arbitrary step. Such a bound provides a quantitative form of strong unique continuation and can be thought of as a subelliptic analogue of the recent results obtained by Bakri ([3]) and Zhu ([27]) for the standard Laplacian.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.029
       
  • Second main theorem for meromorphic mappings with moving hypersurfaces in
           subgeneral position
    • Authors: Duc Quang Si
      Pages: 604 - 623
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Duc Quang Si
      Let Q 1 , . . . , Q q be q slowly moving hypersurfaces in P n ( C ) of degree d i which are located in N-subgeneral position. Let f be a meromorphic mapping from C m into P n ( C ) which is algebraically nondegenerate over the field generated by Q i 's. In this paper, we will prove that, for every ϵ > 0 , there exists a positive integer M such that ( q − ( N − n + 1 ) ( n + 1 ) − ϵ ) T f ( r ) ≤ ∑ i = 1 q 1 d i N [ M ] ( r , f ⁎ Q i ) + o ( T f ( r ) ) . Moreover, an explicit estimate for M is given. Our result is an extension of the previous second main theorems for meromorphic mappings and moving hypersurfaces.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.027
       
  • Moment approach to the boundary exact controllability of an active
           constrained layer beam
    • Authors: Yu-Long Zhang; Jun-Min Wang
      Pages: 643 - 657
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Yu-Long Zhang, Jun-Min Wang
      Using the moment approach, we consider the boundary exact controllability of an active constrained layer (ACL) beam consisting of three layers, which is modeled as a Rayleigh beam coupled with two wave equations. We convert the controllability problem of the ACL beam into a corresponding moment problem which can be solvable in a Hilbert space ℓ 2 . Then, we conclude that the ACL beam is exactly controllable when the control time is greater than the maximum value among of the optical lengths of the two waves and the square root of the moment of inertia of the Rayleigh beam. The well-posedness and asymptotic spectral expressions of the ACL beam are also presented.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.032
       
  • Integrable Teichmüller space
    • Authors: Shuan Tang; Yuliang Shen
      Pages: 658 - 672
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Shuan Tang, Yuliang Shen
      This paper deals with the p-integrable Teichmüller space and gives an intrinsic characterization of a p-integrable asymptotic affine homeomorphism for p > 2 . More precisely, it is proved that a sense-preserving homeomorphism h on the unit circle is p-integrable asymptotic affine, namely, h can be extended to a quasiconformal mapping to the unit disk whose Beltrami coefficient is p-integrable in the Poincaré metric if and only if h is absolutely continuous such that log ⁡ h ′ belongs to the Besov class B p ( S 1 ) .

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.035
       
  • Extensions of Ramanujan–Mordell formula with coefficients 1 and p
    • Authors: Zafer Selcuk Aygin
      Pages: 690 - 702
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Zafer Selcuk Aygin
      We use properties of modular forms to prove the following extension of the Ramanujan–Mordell formula, z k − j z p j = p χ k − j − 1 p χ k − 1 F p ( k , j ; τ ) + p χ k − p χ k − j p χ k − 1 F p ( k , j ; p τ ) + z k A p ( k , j ; τ ) , for all 1 < k ∈ N , 0 ≤ j ≤ k and p an odd prime. We obtain this result by computing the Fourier series expansions of modular forms at all cusps of Γ 0 ( 4 p ) .

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.033
       
  • A free-boundary problem for Euler flows with constant vorticity on the
           sphere
    • Authors: Sun-Chul Kim
      Pages: 703 - 711
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Sun-Chul Kim
      A free-boundary problem for two-dimensional Euler flows with uniform vorticity on the surface of sphere is considered using the stereographic projection and the argument principle in complex variables. With the constant speed condition on the boundary, a circle turns out to be the unique solution on the sphere.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.05.040
       
  • KMS states on C⁎-algebras associated to a family of
           ⁎-commuting local homeomorphisms
    • Authors: Zahra Afsar; Astrid an Huef; Iain Raeburn
      Pages: 965 - 1009
      Abstract: Publication date: 15 August 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 464, Issue 2
      Author(s): Zahra Afsar, Astrid an Huef, Iain Raeburn
      We consider a family of ⁎-commuting local homeomorphisms on a compact space, and build a compactly aligned product system of Hilbert bimodules. The Nica–Toeplitz algebra of this system carries a gauge action of a higher-dimensional torus, and there are many possible dynamics obtained by composing with different embeddings of the real line in this torus. We study the KMS states of these dynamics. For large inverse temperatures including ∞, we describe the simplex of KMS states on the Nica–Toeplitz algebra. We illustrate our main theorem by considering backward shifts on the infinite-path spaces of a class of k-graphs whose shift maps ⁎-commute.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.01.013
       
  • Γ-limits of singular perturbation problems involving energies with
           non-local terms
    • Authors: Arkady Poliakovsky
      Pages: 1010 - 1050
      Abstract: Publication date: 15 August 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 464, Issue 2
      Author(s): Arkady Poliakovsky
      We introduce a new method to reformulate certain classes of problems involving non-local terms as local problems. This allows us to apply the techniques developed in [24,25] to prove upper and lower bounds for problems arising in Micromagnetics and in the variational study of the Method of Vanishing Viscosity for systems of conservation laws.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.01.078
       
  • Elliptic 1-Laplacian equations with dynamical boundary conditions
    • Authors: Marta Latorre; Sergio Segura de León
      Pages: 1051 - 1081
      Abstract: Publication date: 15 August 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 464, Issue 2
      Author(s): Marta Latorre, Sergio Segura de León
      This paper is concerned with an evolution problem having an elliptic equation involving the 1-Laplacian operator and a dynamical boundary condition. We apply nonlinear semigroup theory to obtain existence and uniqueness results as well as a comparison principle. Our main theorem shows that the solution we found is actually a strong solution. We also compare solutions with different data.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.02.006
       
  • The existence and nonexistence of entire large solutions for a quasilinear
           Schrödinger elliptic system by dual approach
    • Authors: Xinguang Zhang; Lishan Liu; Yonghong Wu; Yujun Cui
      Pages: 1089 - 1106
      Abstract: Publication date: 15 August 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 464, Issue 2
      Author(s): Xinguang Zhang, Lishan Liu, Yonghong Wu, Yujun Cui
      In this paper, we establish some new results on the existence and nonexistence of radial large positive solutions for a modified Schrödinger system with a nonconvex diffusion term by a successive iteration technique and the dual approach. The necessary and sufficient condition for the existence of radial large positive solutions is established. Our results improve and extend many previous work in this field of research.

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.04.040
       
  • Perturbation of the tangential slit by conformal maps
    • Authors: Hai-Hua Wu; Yue-Ping Jiang; Xin-Han Dong
      Pages: 1107 - 1118
      Abstract: Publication date: 15 August 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 464, Issue 2
      Author(s): Hai-Hua Wu, Yue-Ping Jiang, Xin-Han Dong
      For a tangential slit, the behavior of the driving function in the Loewner differential equation is less clear. In this paper, we investigate the tangential slit φ ( Γ ) , where φ is a univalent real analytic function near the origin, and where Γ is a circular arc tangent at the origin. Our main aim is to give an interesting way to prove the asymptotic property of the driving function which generates the tangential slit φ ( Γ ) .

      PubDate: 2018-05-31T15:28:02Z
      DOI: 10.1016/j.jmaa.2018.04.042
       
  • Dynamical identification of a space varying coefficient in a system with
           persistent memory
    • Authors: Pandolfi
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): L. Pandolfi
      In this paper we solve the problem of the identification of a coefficient which appears in the equation of a distributed system with persistent memory. This system is encountered for example when modelling the interconnection of linear elastic and viscoelastic systems. The additional data used in the identification are subsumed in the input output map from the deformation to the traction on the boundary. We extend a dynamical approach to identification introduced by Belishev in the case of purely elastic (memoryless) bodies and based on a special equation due to Blagoveshchenskiı̌. So, in particular, we extend Blagoveshchenskiı̌ equation to our class of systems with persistent memory.

      PubDate: 2018-05-31T15:28:02Z
       
  • Absolutely norm attaining paranormal operators
    • Authors: Ramesh
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): G. Ramesh
      A bounded linear operator T : H 1 → H 2 , where H 1 , H 2 are Hilbert spaces is said to be norm attaining if there exists a unit vector x ∈ H 1 such that ‖ T x ‖ = ‖ T ‖ . If for any closed subspace M of H 1 , the restriction T M : M → H 2 of T to M is norm attaining, then T is called an absolutely norm attaining operator or AN -operator. We prove the following characterization theorem: a positive operator T defined on an infinite dimensional Hilbert space H is an AN -operator if and only if the essential spectrum of T is a single point and [ m ( T ) , m e ( T ) ) contains atmost finitely many points. Here m ( T ) and m e ( T ) are the minimum modulus and essential minimum modulus of T, respectively. As a consequence we obtain a sufficient condition under which the AN -property of an operator implies AN -property of its adjoint. We also study the structure of paranormal AN -operators and give a necessary and sufficient condition under which a paranormal AN -operator is normal.

      PubDate: 2018-05-31T15:28:02Z
       
  • The countable sup property for lattices of continuous functions
    • Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): M. Kandić, A. Vavpetič
      In this paper we find sufficient and necessary conditions under which vector lattice C ( X ) and its sublattices C b ( X ) , C 0 ( X ) and C c ( X ) have the countable sup property. It turns out that the countable sup property is tightly connected to the countable chain condition of the underlying topological space X. We also consider the countable sup property of C ( X × Y ) . Even when both C ( X ) and C ( Y ) have the countable sup property it is possible that C ( X × Y ) fails to have it. For this construction one needs to assume the continuum hypothesis. In general, we present a positive result in this direction and also address the question when C ( ∏ λ ∈ Λ X λ ) has the countable sup property. Our results can be understood as vector lattice theoretical versions of results regarding products of spaces satisfying the countable chain condition. We also present new results for general vector lattices that are of an independent interest.

      PubDate: 2018-05-31T15:28:02Z
       
  • Sign-changing solutions at the almost Hénon critical exponent
    • Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Salomón Alarcón
      We study the problem (P α ) − Δ u = x α u 4 + 2 α N − 2 − ε u    in  Ω , u = 0    on  ∂ Ω , where Ω is a bounded smooth domain in R N , N ≥ 3 , which is symmetric with respect to x 1 , x 2 , … , x N and contains the origin, α > 0 , and ε > 0 is a small parameter. We construct solutions to ( P α ) with the shape of a sign-changing tower of bubbles of order α that concentrate and blow-up at the origin as ε → 0 . We also study a slightly Hénon supercritical dual version of ( P α ) in an exterior domain, for which we found solutions with the shape of a flat sign-changing tower of bubbles of order α that disappear as ε → 0 .

      PubDate: 2018-05-31T15:28:02Z
       
  • Niebur–Poincaré series and traces of singular moduli
    • Authors: Steffen
      Abstract: Publication date: 1 September 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 465, Issue 1
      Author(s): Steffen Löbrich
      We compute the Fourier coefficients of analogues of Kohnen and Zagier's modular forms f k , Δ of weight 2 and negative discriminant. These functions can also be written as twisted traces of certain weight 2 Poincaré series with evaluations of Niebur–Poincaré series as Fourier coefficients. This allows us to study twisted traces of singular moduli in an integral weight setting. In particular, we recover explicit series expressions for twisted traces of singular moduli and extend algebraicity results by Bengoechea to the weight 2 case. We also compute regularized inner products of these functions, which in the higher weight case have been related to evaluations of higher Green's functions at CM-points.

      PubDate: 2018-05-31T15:28:02Z
       
  • Degenerate form of a three-component Degasperis–Procesi equation
    • Authors: Hongmin
      Abstract: Publication date: 15 August 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 464, Issue 2
      Author(s): Hongmin Li
      We discuss the short-wave limit of a new three-component Degasperis–Procesi equation, and construct infinitely many conserved quantities for the degenerate system. We study the reductions for a spectral problem of the degenerate system, which are shown to contain spectral problems of some famous or new systems found recently.

      PubDate: 2018-05-31T15:28:02Z
       
  • On reconstruction from discrete local moving averages on locally compact
           abelian groups
    • Authors: Devaraj
      Abstract: Publication date: 15 August 2018
      Source:Journal of Mathematical Analysis and Applications, Volume 464, Issue 2
      Author(s): Devaraj P.
      Let G be a locally compact abelian group and μ be a compactly supported discrete measure on G. We analyse the range of the operator C μ : C ( G ) ⟶ C ( G ) defined by C μ ( f ) ( x ) = ( f ⋆ μ ) ( x ) = ∫ G f ( x − y ) d μ ( y ) . It is shown that this operator is onto when G is a compactly generated locally compact abelian group and μ satisfies certain compatibility conditions. Furthermore, if G is a compactly generated torsion free locally compact abelian group then the convolution operator is always onto for every non zero compactly supported discrete measure μ. For a g ∈ C ( G ) , we construct a function f ∈ C ( G ) such that f ⋆ μ = g .

      PubDate: 2018-05-31T15:28:02Z
       
 
 
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