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  Subjects -> MATHEMATICS (Total: 886 journals)
    - APPLIED MATHEMATICS (72 journals)
    - GEOMETRY AND TOPOLOGY (20 journals)
    - MATHEMATICS (656 journals)
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    - NUMERICAL ANALYSIS (19 journals)
    - PROBABILITIES AND MATH STATISTICS (77 journals)

MATHEMATICS (656 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: 3)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 8)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 21)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 11)
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: 7)
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: 5)
Advances in Difference Equations     Open Access   (Followers: 1)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 10)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 2)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 5)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
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: 6)
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)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Algebra and Logic     Hybrid Journal   (Followers: 4)
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: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 7)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 3)
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: 9)
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 Network Science     Open Access  
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 19)
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: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 2)
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: 5)
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: 20)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 7)
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: 1)
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)
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: 3)
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: 14)
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: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Dnipropetrovsk University Mathematics Bulletin     Open Access  
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: 5)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 5)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 4)
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)

        1 2 3 4 | Last

Journal Cover Acta Mathematica Scientia
  [SJR: 0.615]   [H-I: 21]   [5 followers]  Follow
    
   Full-text available via subscription Subscription journal
   ISSN (Print) 0252-9602
   Published by Elsevier Homepage  [3044 journals]
  • Zero dissipation limit to a Riemann solution for the compressible
           Navier-Stokes system of general gas
    • Authors: Hakho HONG; Teng WANG
      Pages: 1177 - 1208
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Hakho HONG, Teng WANG
      For the general gas including ideal polytropic gas, we study the zero dissipation limit problem of the full 1-D compressible Navier-Stokes equations toward the superposition of contact discontinuity and two rarefaction waves. In the case of both smooth and Riemann initial data, we show that if the solutions to the corresponding Euler system consist of the composite wave of two rarefaction wave and contact discontinuity, then there exist solutions to Navier-Stokes equations which converge to the Riemman solutions away from the initial layer with a decay rate in any fixed time interval as the viscosity and the heat-conductivity coefficients tend to zero. The proof is based on scaling arguments, the construction of the approximate profiles and delicate energy estimates. Notice that we have no need to restrict the strengths of the contact discontinuity and rarefaction waves to be small.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30067-x
       
  • On a generalized geometric constant and sufficient conditions for normal
           structure in Banach spaces
    • Authors: Mina DINARVAND
      Pages: 1209 - 1220
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Mina DINARVAND
      In this paper, we introduce a new geometric constant C N J ( p ) ( a , X ) of a Banach space X, which is closely related to the generalized von Neumann-Jordan constant and analyze some properties of the constant. Subsequently, we present several sufficient conditions for normal structure of a Banach space in terms of this new constant, the generalized James constant, the generalized García-Falset coefficient and the coefficient of weak orthogonality of Sims. Our main results of the paper generalize some known results in the recent literature.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30068-1
       
  • Szegö type factorization of Haagerup noncommutative Hardy spaces
    • Authors: Turdebek N. Bekjan
      Pages: 1221 - 1229
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Turdebek N. Bekjan
      Let M be a σ-finite von Neumann algebra equipped with a normal faithful state φ, and let A be a maximal subdiagonal algebra of M. We proved a Szegö type factorization theorem for the Haagerup noncommutative Hp-spaces.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30069-3
       
  • The Vlasov-Maxwell-Fokker-Planck system with relativistic transport in the
           whole space
    • Authors: Dongcheng YANG
      Pages: 1237 - 1261
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Dongcheng YANG
      In this paper, we consider the Vlasov-Maxwell-Fokker-Planck system with relativistic transport in the whole space. The global solutions to this system near the relativistic Maxwellian are constructed and the optimal time decay rate of global solutions are also obtained by an approach by combining the compensating function and energy method.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30071-1
       
  • Smoothing Newton algorithm for the circular cone programming with a
           nonmonotone line search
    • Authors: Xiaoni CHI; Hongjin WEI; Zhongping WAN; Zhibin ZHU
      Pages: 1262 - 1280
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Xiaoni CHI, Hongjin WEI, Zhongping WAN, Zhibin ZHU
      In this paper, we present a nonmonotone smoothing Newton algorithm for solving the circular cone programming (CCP) problem in which a linear function is minimized or maximized over the intersection of an affine space with the circular cone. Based on the relationship between the circular cone and the second-order cone (SOC), we reformulate the CCP problem as the second-order cone problem (SOCP). By extending the nonmonotone line search for unconstrained optimization to the CCP, a nonmonotone smoothing Newton method is proposed for solving the CCP. Under suitable assumptions, the proposed algorithm is shown to be globally and locally quadratically convergent. Some preliminary numerical results indicate the effectiveness of the proposed algorithm for solving the CCP.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30072-3
       
  • Average regularity of the solution to an equation with the
           relativistic-free transport operator
    • Authors: Jianjun HUANG
      Pages: 1281 - 1294
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Jianjun HUANG
      Let u = u(t,x, p) satisfy the transport equation ∂ u ∂ t + P p 0 ∂ ∂ x = , where f=f(t, x,p) belongs to Lp ((0,T)× R 3 × R 3) for 1< p <∞ and ∂ ∂ t + P p 0 ∂ ∂ x is the relativistic-free transport operator from the relativistic Boltzmann equation. We show the regularity of ∫ R 3 u ( t , x , p ) d p using the same method as given by Golse, Lions, Perthame and Sentis. This average regularity is considered in terms of fractional Sobolev spaces and it is very useful for the study of the existence of the solution to the Cauchy problem on the relativistic Boltzmann equation.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30073-5
       
  • Globally attracting solutions to impulsive fractional differential
           inclusions of Sobolev type
    • Authors: Van Hien LE; Dinh Ke TRAN; Trong Kinh CHU
      Pages: 1295 - 1318
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Van Hien LE, Dinh Ke TRAN, Trong Kinh CHU
      We study a generalized Cauchy problem associated with a class of impulsive fractional differential inclusions of Sobolev type in Banach spaces. Our aim is to prove the existence of a compact set of globally attracting solutions to the problem in question. An application to fractional partial differential equations subject to impulsive effects is given to illustrate our results.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30074-7
       
  • Complete moment convergence for Lp-mixingales
    • Authors: Dehua QIU; Pingyan CHEN; Volodin ANDREI
      Pages: 1319 - 1330
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Dehua QIU, Pingyan CHEN, Volodin ANDREI
      In this paper, the complete moment convergence for L p -mixingales are studied. Sufficient conditions are given for the complete moment convergence for the maximal partial sums of B-valued Lp -mixingales by utilizing the Rosenthal maximal type inequality for B-valued martingale difference sequence, which extend and improve the related known works in the literature.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30075-9
       
  • Local and parallel finite element method for the mixed Navier-Stokes/Darcy
           model with Beavers-Joseph interface conditions
    • Authors: Guangzhi DU; Liyun ZUO
      Pages: 1331 - 1347
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Guangzhi DU, Liyun ZUO
      In this paper, we consider the mixed Navier-Stokes/Darcy model with Beavers-Joseph interface conditions. Based on two-grid discretizations, a local and parallel finite element algorithm for this mixed model is proposed and analyzed. Optimal errors are obtained and numerical experiments are presented to show the efficiency and effectiveness of the local and parallel finite element algorithm.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30076-0
       
  • Existence result for a class of N-Laplacian equations involving critical
           growth
    • Authors: Guoqing ZHANG; Weiguo ZHANG; Sanyang LIU
      Pages: 1348 - 1360
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Guoqing ZHANG, Weiguo ZHANG, Sanyang LIU
      In this paper, we consider a class of N-Laplacian equations involving critical growth { - Δ N u = λ u N - 2 u + f ( x , u ) ,             x ∈ Ω , u ∈ W 0 1 , N ( Ω ) ,                 u ( x ) ≥ 0 ,                         x ∈ Ω , where Ω is a bounded domain with smooth boundary in ℝ N (N >2), f (x, u) is of critical growth. Based on the Trudinger-Moser inequality and a nonstandard linking theorem introduced by Degiovanni and Lancelotti, we prove the existence of a nontrivial solution for any λ > λ1, λ≠λℓ (ℓ = 2,3,ċċċ), and λℓ is the eigenvalues of the operator ( - Δ N , W 0 1 , N ( Ω ) ) , which is defined by the ℤ2-cohomological index.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30077-2
       
  • Existence and uniqueness of the weak solution to the incompressible
           Navier-Stokes-Landau-Lifshitz model in 2-dimension
    • Authors: Guangwu WANG; Boling GUO
      Pages: 1361 - 1372
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Guangwu WANG, Boling GUO
      In this paper, we prove the existence and uniqueness of the weak solution to the incompressible Navier-Stokes-Landau-Lifshitz equations in two-dimension with finite energy. The main techniques is the Faedo-Galerkin approximation and weak compactness theory.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30078-4
       
  • Compactness for the commutator of Bochner-Riesz operator
    • Authors: Rui BU; Jiecheng CHEN; Guoen HU
      Pages: 1373 - 1384
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Rui BU, Jiecheng CHEN, Guoen HU
      Let α ∈ ( 0 ,     n - 1 2 ) and T α be the Bochner-Riesz operator of order α. In this paper, for n = 2 and n ≥ 3, the compactness on Lebesgue spaces and Morrey spaces are considered for the commutator of Bochner-Riesz operator generated by CMO(ℝn) function and T α.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30079-6
       
  • Positive steady states of a diffusive predator-prey system with predator
           cannibalism
    • Authors: Biao WANG
      Pages: 1385 - 1398
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Biao WANG
      The purpose of this paper is to investigate positive steady states of a diffusive predator-prey system with predator cannibalism under homogeneous Neumann boundary conditions. With the help of implicit function theorem and energy integral method, non-existence of non-constant positive steady states of the system is obtained, whereas coexistence of non-constant positive steady states is derived from topological degree theory. The results indicate that if dispersal rate of the predator or prey is sufficiently large, there is no non-constant positive steady states. However, under some appropriate hypotheses, if the dispersal rate of the predator is larger than some positive constant, for certain ranges of dispersal rates of the prey, there exists at least one non-constant positive steady state.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30080-2
       
  • Heat kernel estimates on Julia sets
    • Authors: Meng YANG
      Pages: 1399 - 1414
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Meng YANG
      We give heat kernel estimates on Julia sets J(fc ) for quadratic polynomials fc (z)= z 2 + c for c in the main cardioid or the ± 1 k -bulbs where k ≥2. First we use external ray parametrization to construct a regular, strongly local and conservative Dirichlet form on Julia set. Then we show that this Dirichlet form is a resistance form and the corresponding resistance metric induces the same topology as Euclidean metric. Finally, we give heat kernel estimates under the resistance metric.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30081-4
       
  • Classification of positive solutions to a system of Hardy-Sobolev type
           equations
    • Authors: Wei DAI; Zhao LIU
      Pages: 1415 - 1436
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Wei DAI, Zhao LIU
      In this paper, we are concerned with the following Hardy-Sobolev type system (0.1) { ( - Δ ) α 2 u ( x ) = υ q ( x ) y t 2 ( - Δ ) α 2 υ ( x ) = u p ( x ) y t 1 , x = ( y , z ) ∈ ( ℝ k \ { 0 } ) × ℝ n - k , where 0<α<n, 0<t 1,t 2 < min{α,k}, and 1 < p ≤ τ 1 : = n + α - 2 t 1 n - α , 1 < q ≤ τ 2 : = n + α - 2 t 2 n - α . . We first establish the equivalence of classical and weak solutions between PDE system (0.2) { u ( x ) = ∫ ℝ n G α ( x , ξ ) u p ( ξ ) η t 2 d ξ υ ( x ) = ∫ ℝ n G α ( x , ξ ) u p ( ξ ) η t 2 d ξ , where G α ( x , ξ ) = c n , α x - ξ n - α is the Green's function of ( - Δ ) α 2 in ℝn. Then, by the method of moving planes in the integral forms, in the critical case p = τ1 and q = τ2, we prove that each pair of nonnegative solutions(u,v) of (0.1) is radially symmetric and monotone decreasing about the origin in ℝk and some point z 0 in ℝn-k. In the subcritical case
      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30082-6
       
  • General decay for a viscoelastic equation of variable coefficients with a
           time-varying delay in the boundary feedback and acoustic boundary
           conditions
    • Authors: Yamna BOUKHATEM; Benyattou BENABDERRAHMANE
      Pages: 1453 - 1471
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Yamna BOUKHATEM, Benyattou BENABDERRAHMANE
      A variable coefficient viscoelastic equation with a time-varying delay in the boundary feedback and acoustic boundary conditions and nonlinear source term is considered. Under suitable assumptions, general decay results of the energy are established via suitable Lyapunov functionals and some properties of the convex functions. Our result is obtained without imposing any restrictive growth assumption on the damping term and the elements of the matrix A and the kernel function g.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30084-x
       
  • Multiple positive solutions for a class of semipositone Neumann problems
           with singular φ-laplacian
    • Authors: Ruyun MA; Hongliang GAO
      Pages: 1472 - 1482
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Ruyun MA, Hongliang GAO
      We study the existence of multiple positive solutions for a Neumann problem with singular φ-Laplacian { - ( φ ( u ′ ) ) ′ = λ f ( u ) ,             x ∈ ( 0 , 1 ) , u ′ ( 0 ) = 0 = u ′ ( 1 ) , where λ is a positive parameter, φ ( s ) = s 1 - s 2 , f ∈ C 1 ( [ 0 , ∞ ) , ℝ ) , f ′ ( u ) > 0   for   u > 0 , and for some 0<β<θ such that f(u)<0 for u∈[0,β) (semipositone) and f(u)>0 for u > β. Under some suitable assumptions, we obtain the existence of multiple positive solutions of the above problem by using the quadrature technique. Further, if f ∈ C 2([0,β)∪(β,∞),ℝ), f″(u)≥0 for u ∈[0,β) and f″(u) ≤0 for u ∈(β,∞), then there exist exactly 2n+1 positive solutions for some interval of λ, which is dependent on n and θ. Moreover, We also give some examples to apply our results.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30085-1
       
  • BSDES in games, coupled with the value functions. associated nonlocal
           Bellman-Isaacs equations
    • Authors: Tao HAO; Juan LI
      Pages: 1497 - 1518
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Tao HAO, Juan LI
      We establish a new type of backward stochastic differential equations (BSDEs) connected with stochastic differential games (SDGs), namely, BSDEs strongly coupled with the lower and the upper value functions of SDGs, where the lower and the upper value functions are defined through this BSDE. The existence and the uniqueness theorem and comparison theorem are proved for such equations with the help of an iteration method. We also show that the lower and the upper value functions satisfy the dynamic programming principle. Moreover, we study the associated Hamilton-Jacobi-Bellman-Isaacs (HJB-Isaacs) equations, which are nonlocal, and strongly coupled with the lower and the upper value functions. Using a new method, we characterize the pair (W,U) consisting of the lower and the upper value functions as the unique viscosity solution of our nonlocal HJB-Isaacs equation. Furthermore, the game has a value under the Isaacs' condition.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30087-5
       
  • Local discontinuous Galerkin method for elliptic interface problems
    • Authors: Zhijuan ZHANG; Xijun YU; Yanzhen CHANG
      Pages: 1519 - 1535
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Zhijuan ZHANG, Xijun YU, Yanzhen CHANG
      In this paper, the minimal dissipation local discontinuous Galerkin method is studied to solve the elliptic interface problems in two-dimensional domains. The interface may be arbitrary smooth curves. It is shown that the error estimates in L 2-norm for the solution and the flux are O(h 2 logh ) and O(h logh 1/2), respectively. In numerical experiments, the successive substitution iterative methods are used to solve the LDG schemes. Numerical results verify the efficiency and accuracy of the method.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30088-7
       
  • Universal inequalities for a horizontal Laplacian version of the clamped
           plate problem on Carnot group
    • Authors: Feng DU; Chuanxi WU; Guanghan LI; Changyu XIA
      Pages: 1536 - 1544
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Feng DU, Chuanxi WU, Guanghan LI, Changyu XIA
      In this paper, we investigate a horizontal Laplacian version of the clamped plate problem on Carnot groups and obtain some universal inequalities. Furthermore, for the lower order eigenvalues of this eigenvalue problem on carnot groups, we also give some universal inequalities.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30089-9
       
  • Renormalized solutions of elliptic equations with Robin boundary
           conditions
    • Authors: Olivier GUIBÉ; Alip OROPEZA
      Pages: 889 - 910
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Olivier GUIBÉ, Alip OROPEZA
      In the present paper, we consider elliptic equations with nonlinear and nonhomogeneous Robin boundary conditions of the type { - div ( B ( x , u ) ∇ u ) = f   in   Ω , u = 0   on   Γ o B ( x , u ) ∇ u ⋅ n → + γ ( x ) h ( u ) = g   on   Γ 1 where f and g are the element of L 1 (Ω) and L 1 (Γ1), respectively. We define a notion of renormalized solution and we prove the existence of a solution. Under additional assumptions on the matrix field B we show that the renormalized solution is unique.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30046-2
       
  • Existence of solutions of nonlocal perturbations of dirichlet discrete
           nonlinear problems
    • Authors: Alberto CABADA; Nikolay D. DIMITROV
      Pages: 911 - 926
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Alberto CABADA, Nikolay D. DIMITROV
      This paper is devoted to the study of second order nonlinear difference equations. A Nonlocal Perturbation of a Dirichlet Boundary Value Problem is considered. An exhaustive study of the related Green's function to the linear part is done. The exact expression of the function is given, moreover the range of parameter for which it has constant sign is obtained. Using this, some existence results for the nonlinear problem are deduced from monotone iterative techniques, the classical Krasnoselski fixed point theorem or by application of recent fixed point theorems that combine both theories.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30047-4
       
  • Dynamical behavior of a stochastic HBV infection model with logistic
           hepatocyte growth
    • Authors: Qun LIU; Daqing JIANG; Ningzhong SHI; Tasawar HAYAT; Ahmed ALSAEDI
      Pages: 927 - 940
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Qun LIU, Daqing JIANG, Ningzhong SHI, Tasawar HAYAT, Ahmed ALSAEDI
      This paper is concerned with a stochastic HBV infection model with logistic growth. First, by constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of ergodic stationary distribution of the solution to the HBV infection model. Then we obtain sufficient conditions for extinction of the disease. The stationary distribution shows that the disease can become persistent in vivo.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30048-6
       
  • Stability of a von Karman equation with infinite memory
    • Authors: Sun-Hye PARK
      Pages: 965 - 973
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Sun-Hye PARK
      In this paper, we consider a von Karman equation with infinite memory. For von Karman equations with finite memory, there is a lot of literature concerning on existence of the solutions, decay of the energy, and existence of the attractors. However, there are few results on existence and energy decay rate of the solutions for von Karman equations with infinite memory. The main goal of the present paper is to generalize previous results by treating infinite history instead of finite history.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30051-6
       
  • Blow-up and life span estimates for a class of nonlinear degenerate
           parabolic system with time-dependent coefficients
    • Authors: Anyin XIA; Mingshu FAN; Shan LI
      Pages: 974 - 984
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Anyin XIA, Mingshu FAN, Shan LI
      This paper deals with the singularity and global regularity for a class of nonlinear porous medium system with time-dependent coefficients under homogeneous Dirichlet boundary conditions. First, by comparison principle, some global regularity results are established. Secondly, using some differential inequality technique, we investigate the blow-up solution to the initial-boundary value problem. Furthermore, upper and lower bounds for the maximum blow-up time under some appropriate hypotheses are derived as long as blow-up occurs.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30052-8
       
  • Impulsive differential equations with Gamma distributed moments of
           impulses and p-moment exponential stability
    • Authors: R. AGARWAL; S. HRISTOVA; P. KOPANOV; D. O'Regan
      Pages: 985 - 997
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): R. AGARWAL, S. HRISTOVA, P. KOPANOV, D. O'Regan
      Differential equations with impulses at random moments are set up and investigated. We study the case of Gamma distributed random moments of impulses. Several properties of solutions are studied based on properties of Gammma distributions. Some sufficient conditions for p-moment exponential stability of the solutions are given.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30053-x
       
  • Orbital stability of periodic traveling wave solutions to the generalized
           zakharov equations
    • Authors: Xiaoxiao ZHENG; Yadong SHANG; Xiaoming PENG
      Pages: 998 - 1018
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Xiaoxiao ZHENG, Yadong SHANG, Xiaoming PENG
      This paper investigates the orbital stability of periodic traveling wave solutions to the generalized Zakharov equations { i u t + u x x = u v + u 2 u , v t t - v x x = ( u 2 ) x x . First, we prove the existence of a smooth curve of positive traveling wave solutions of dnoidal type with a fixed fundamental period L for the generalized Zakharov equations. Then, by using the classical method proposed by Benjamin, Bona et al., we show that this solution is orbitally stable by perturbations with period L. The results on the orbital stability of periodic traveling wave solutions for the generalized Zakharov equations in this paper can be regarded as a perfect extension of the results of [15, 16, 19].

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30054-1
       
  • Conditional expectations and martingales in noncommutative Lp-spaces
           associated with center-valued traces
    • Authors: Inomjon GANIEV; Farrukh MUKHAMEDOV
      Pages: 1019 - 1032
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Inomjon GANIEV, Farrukh MUKHAMEDOV
      In this paper we prove the existence of conditional expectations in the noncommutative L p (M,Φ)-spaces associated with center-valued traces. Moreover, their description is also provided. As an application of the obtained results, we establish the norm convergence of weighted averages of martingales in noncommutative L p (M,Φ)-spaces.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30055-3
       
  • Local regularity criteria of a suitable weak solution to MHD equations
    • Authors: Jae-Myoung KIM
      Pages: 1033 - 1047
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Jae-Myoung KIM
      We present a regularity condition of a suitable weak solution to the MHD equations in three dimensional space with slip boundary conditions for a velocity and magnetic vector fields. More precisely, we prove a suitable weak solution are Hölder continuous near boundary provided that the scaled mixed Lp,q x,t -norm of the velocity vector field with 3/p+2q ≤ 2, 2 < q < ∞ is sufficiently small near the boundary. Also, we will investigate that for this solution u ɛ Lp,q x,t with 1 ≤ 3 p + 2 p ≤ 3 2 , 3 < p < ∞ , the Hausdorff dimension of its singular set is no greater than max {p,q} ( 3 p + 2 p - 1 ) .

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30056-5
       
  • Analysis of an elasto-piezoelectric system of hemivariational inequalities
           with thermal effects
    • Authors: Paweł SZAFRANIEC
      Pages: 1048 - 1060
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Paweł SZAFRANIEC
      In this paper we prove the existence and uniqueness of a weak solution for a dynamic electo-viscoelastic problem that describes a contact between a body and a foundation. We assume the body is made from thermoviscoelastic material and consider nonmonotone boundary conditions for the contact. We use recent results from the theory of hemivariational inequalities and the fixed point theory.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30057-7
       
  • Sharp well-posedness of the cauchy problem for the higher-order dispersive
           equation
    • Authors: Minjie JIANG; Wei YAN; Yimin ZHANG
      Pages: 1061 - 1082
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Minjie JIANG, Wei YAN, Yimin ZHANG
      This current paper is devoted to the Cauchy problem for higher order dispersive equation u t + ∂ x 2 n + 1 u = ∂ x ( u ∂ x n u ) + ∂ x n - 1 ( u x 2 ) ,   n ≥ 2 , n ∈ N + . By using Besov-type spaces, we prove that the associated problem is locally well-posed in H ( - n 2 + 3 4 , - 1 2 n ) ( R ) . The new ingredient is that we establish some new dyadic bilinear estimates. When n is even, we also prove that the associated equation is ill-posed in H ( s , a ) ( R ) with s < - n 2 + 3 4 and all a ∈ R .

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30058-9
       
  • Duality of weighted multiparameter Triebel-Lizorkin spaces
    • Authors: Wei DING; Yueping ZHU
      Pages: 1083 - 1104
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Wei DING, Yueping ZHU
      In this paper, we reintroduce the weighted multi-parameter Triebel-Lizorkin spaces F ˙ p α , q ( ω ; R n 1 × R n 2 ) based on the Frazier and Jawerth' method in [11]. This space was firstly introduced in [18]. Then we establish its dual space and get that ( F ˙ p α , q ) * = CMO p - α , q ' for 0 < p ≤ 1.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30059-0
       
  • Legendre spectral collocation method for volterra-hammerstein integral
           equation of the second kind
    • Authors: Yunxia WEI; Yanping CHEN
      Pages: 1105 - 1114
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Yunxia WEI, Yanping CHEN
      This paper is concerned with obtaining theapproximate solution for Volterra-Hammerstein integral equation with a regular kernel. We choose the Gauss points associated with the Legendre weight function ω(x)=1 as the collocation points. The Legendre collocation discretization is proposed for Volterra-Hammerstein integral equation. We provide an error analysis which justifies that the errors of approximate solution decay exponentially in L2 norm and L∞ norm. We give two numerical examples in order to illustrate the validity of the proposed Legendre spectral collocation method.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30060-7
       
  • Gevrey regularity with weight for incompressible euler equation in the
           half plane
    • Authors: Feng CHENG; Wei-Xi LI; Chao-Jiang XU
      Pages: 1115 - 1132
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Feng CHENG, Wei-Xi LI, Chao-Jiang XU
      In this work we prove the weighted Gevrey regularity of solutions to the incompressible Euler equation with initial data decaying polynomially at infinity. This is motivated by the well-posedness problem of vertical boundary layer equation for fast rotating fluid. The method presented here is based on the basic weighted L 2-estimate, and the main difficulty arises from the estimate on the pressure term due to the appearance of weight function.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30061-9
       
  • Optimality conditions and duality results for nonsmooth vector
           optimization problems with the multiple interval-valued objective function
           
    • Authors: Tadeusz ANTCZAK
      Pages: 1133 - 1150
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Tadeusz ANTCZAK
      In this paper, both Fritz John and Karush-Kuhn-Tucker necessary optimality conditions are established for a (weakly) LU-efficient solution in the considered nonsmooth multiobjective programming problem with the multiple interval-objective function. Further, the sufficient optimality conditions for a (weakly) LU-efficient solution and several duality results in Mond-Weir sense are proved under assumptions that the functions constituting the considered nondifferentiable multiobjective programming problem with the multiple interval-objective function are convex.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30062-0
       
  • Möbius-toda hierarchy and its integrability
    • Authors: Chuanzhong LI
      Pages: 1151 - 1161
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Chuanzhong LI
      In this paper, we construct a new integrable equation called Möbius-Toda equation which is a generalization of q-Toda equation. Meanwhile its soliton solutions are constructed to show its integrable property. Further the Lax pairs of the Möbius-Toda equation and a whole integrable Möbius-Toda hierarchy are also constructed. To show the integrability, the bi-Hamiltonian structure and tau symmetry of the Möbius-Toda hierarchy are given and this leads to the existence of the tau function.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30063-2
       
  • On the first eigenvalue of the mean finsler-laplacian
    • Authors: Qun HE; Fanqi ZENG; Daxiao ZENG
      Pages: 1162 - 1172
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Qun HE, Fanqi ZENG, Daxiao ZENG
      In this paper, we prove that several different definitions of the Finsler-Laplacian are equivalent. Then we prove that any Berwald metric is affinely equivalent to its mean metric and give some upper or lower bound estimates for the first eigenvalue of the mean Laplacian on Berwald manifolds, which generalize some results in Riemannian geometry.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30064-4
       
  • Global weak solutions to one-dimensional compressible viscous hydrodynamic
           equations
    • Authors: Boling GUO; Xiaoyu XI
      Pages: 573 - 583
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Boling GUO, Xiaoyu XI
      In this article, we are concerned with the global weak solutions to the 1D compressible viscous hydrodynamic equations with dispersion correction δ2 ρ((φ(ρ))xxφ′(ρ)x with φ(ρ)=ρα. The model consists of viscous stabilizations because of quantum Fokker-Planck operator in the Wigner equation and is supplemented with periodic boundary and initial conditions. The diffusion term ɛuxx in the momentum equation may be interpreted as a classical conservative friction term because of particle interactions. We extend the existence result in [ 1 ] ( α = 1 2 ) to   0 < α ≤ 1. In addition, we perform the limit ɛ→ 0 with respect to 0 < α ≤ ½.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30023-1
       
  • A nonconforming quadrilateral finite element approximation to nonlinear
           schrödinger equation
    • Authors: Dongyang SHI; Xin LIAO; Lele WANG
      Pages: 584 - 592
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Dongyang SHI, Xin LIAO, Lele WANG
      In this article, a nonconforming quadrilateral element (named modified quasi-Wilson element) is applied to solve the nonlinear schrödinger equation (NLSE). On the basis of a special character of this element, that is, its consistency error is of order O(h 3) for broken H 1-norm on arbitrary quadrilateral meshes, which is two order higher than its interpolation error, the optimal order error estimate and superclose property are obtained. Moreover, the global superconvergence result is deduced with the help of interpolation postprocessing technique. Finally, some numerical results are provided to verify the theoretical analysis.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30024-3
       
  • Sign-changing solutions for p-biharmonic equations with Hardy potential in
           ℝN
    • Authors: Ruirui YANG; Wei ZHANG; Xiangqing LIU
      Pages: 593 - 606
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Ruirui YANG, Wei ZHANG, Xiangqing LIU
      In this article, by using the method of invariant sets of descending flow, we obtain the existence of sign-changing solutions of p-biharmonic equations with Hardy potential in ℝN.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30025-5
       
  • Refinements of transformation inequalities for zero-balanced
           hypergeometric functions
    • Authors: Miaokun WANG; Yuming CHU
      Pages: 607 - 622
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Miaokun WANG, Yuming CHU
      In the article, we present some refinements of three classes of transformation inequalities for zero-balanced hypergeometric functions by use of the updated monotonicity criterion for the quotient of power series.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30026-7
       
  • Normal family of meromorphic functions sharing holomorphic functions and
           the converse of the bloch principle
    • Authors: Nguyen Van THIN
      Pages: 623 - 656
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Nguyen Van THIN
      In 1996, C. C. Yang and P. C. Hu [8] showed that: Let f be a transcendental meromorphic function on the complex plane, and a ≠ 0 be a complex number; then assume that n ≥ 2, n 1, …,n k are nonnegative integers such that n 1 + ⋯ + n k ≥ 1 ; thus f n ( f ′ ) n 1 ⋯ ( f ( k ) ) n k − a has infinitely zeros. The aim of this article is to study the value distribution of differential polynomial, which is an extension of the result of Yang and Hu for small function and all zeros of f having multiplicity at least k ≥ 2. Namely, we prove that f n ( f ′ ) n 1 ⋯ ( f ( k ) ) n k − a ( z ) has infinitely zeros, where f is a transcendental meromorphic function on the complex plane whose all zeros have multiplicity at least k ≥ 2, and a(z) ≡ 0 is a small function of f and n ≥ 2, n 1,…,n k are nonnegative integers satisfying n 1+…+ n k ≥ 1. Using it, we establish some normality criterias for a family of meromorphic functions under a condition where differential polynomials generated by the members of the family share a holomorphic function with zero points. The results of this article are supplement of some problems studied by J. Yunbo and G. Zongsheng [6], and extension of some problems studied X. Wu and Y. Xu [10]. The main result of this article also leads to a counterexample to the converse of Bloch's principle.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30027-9
       
  • Self-similar solutions to the hyperbolic mean curvature flow
    • Authors: Chunlei HE; Shoujun HUANG; Xiaomin XING
      Pages: 657 - 667
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Chunlei HE, Shoujun HUANG, Xiaomin XING
      This article concerns the self-similar solutions to the hyperbolic mean curvature flow (HMCF) for plane curves, which is proposed by Kong, Liu, and Wang and relates to an earlier proposal for general flows by LeFloch and Smoczyk. We prove that all curves immersed in the plane which move in a self-similar manner under the HMCF are straight lines and circles. Moreover, it is found that a circle can either expand to a larger one and then converge to a point, or shrink directly and converge to a point, where the curvature approaches to infinity.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30028-0
       
  • Characterization of derivations on B(X) by local actions
    • Authors: Tianjiao XUE; Runling AN; Jinchuan HOU
      Pages: 668 - 678
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Tianjiao XUE, Runling AN, Jinchuan HOU
      Let A be a unital algebra and M be a unital A -bimodule. A linear map δ: A → M is said to be Jordan derivable at a nontrivial idempotent P ∈ A if δ ( A ) ∘ B + A ∘ δ ( B ) = δ ( A ∘ B ) for any A , B ∈ A with A ○ B= P, here A ○ B = AB + BA is the usual Jordan product. In this article, we show that if A = A lg N is a Hilbert space nest algebra and M = B ( H ) , or A = M = B ( X ) , then, a linear map δ   :   A → M is Jordan derivable at a nontrivial projection P ∈ N or an arbitrary but fixed nontrivial idempotent P ∈ B ( X ) if and only if it is a derivation. New equivalent characterization of derivations on these operator algebras was obtained.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30029-2
       
  • Generalized riemann integral on fractal sets
    • Authors: Feng
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Feng SU
      The theory of integration to mathematical analysis is so important that many mathematicians continue to develop new theory to enlarge the class of integrable functions and simplify the Lebesgue theory integration. In this paper, by slight modifying the definition of the Henstock integral which was introduced by Jaroslav Kurzweil and Ralph Henstock, we present a new definition of integral on fractal sets. Furthermore, its integrability has been discussed, and the relationship between differentiation and integral is also established. As an example, the integral of Cantor function on Cantor set is calculated.

      PubDate: 2017-08-27T16:02:54Z
       
  • Left-right Browder linear relations and Riesz perturbations
    • Authors: Teresa
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Teresa ÁLVAREZ
      A closed linear relation T in a Banach space X is called left (resp. right) Fredholm if it is upper (resp. lower) semiFredholm and its range (resp. null space) is topologically complemented in X. We say that T is left (resp. right) Browder if it is left (resp. right) Fredholm and has a finite ascent (resp. descent). In this paper, we analyze the stability of the left (resp. right) Fredholm and the left (resp. right) Browder linear relations under commuting Riesz operator perturbations. Recent results of Zivkovic et al. to the case of bounded operators are covered.

      PubDate: 2017-08-27T16:02:54Z
       
  • The energy function with respect to the zeros of the exceptional Hermite
           polynomials
    • Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Ágota P. HORVÁTH
      We examine the energy function with respect to the zeros of exceptional Hermite polynomials. The localization of the eigenvalues of the Hessian is given in the general case. In some special arrangements we have a more precise result on the behavior of the energy function. Finally we investigate the energy function with respect to the regular zeros of the exceptional Hermite polynomials.

      PubDate: 2017-08-27T16:02:54Z
       
  • On the global existence of smooth solutions to the multi-dimensional
           compressible euler equations with time-depending damping in half space
    • Authors: Fei HOU
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Fei HOU
      This paper is a continue work of [4,5]. In the previous two papers, we studied the Cauchy problem of the multi-dimensional compressible Euler equations with time-depending damping term - μ ( 1 + t ) λ ρ u , where λ≥0 and μ > 0 are constants. We have showed that, for all λ≥0 and μ>0, the smooth solution to the Cauchy problem exists globally or blows up in finite time. In the present paper, instead of the Cauchy problem we consider the initial-boundary value problem in the half space ℝd + with space dimension d = 2,3. With the help of the special structure of the equations and the fluid vorticity, we overcome the difficulty arisen from the boundary effect. We prove that there exists a global smooth solution for 0 ≤ λ <1 when the initial data is close to its equilibrium state. In addition, exponential decay of the fluid vorticity will also be established.

      PubDate: 2017-06-05T12:26:35Z
       
 
 
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