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STRONG: 作品数：1728被引量：2203H指数：16; 导出分析报告; 相关领域：理学更多>>; 相关作者：方向晨杨涛孙素华刘建锟蒋立敬更多>>; 相关机构：抚顺石油化工研究院上海交通大学中国科学院吉林大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>

MINIMAL WIDTHSS AND ORTHOGONALITY TYPES: 《Acta Mathematica Scientia》2025年第1期27-39,共13页Chan HE Horst MARTINI Senlin WU; supported by the National Natural Science Foundation of China(12071444,12201581);the Fundamental Research Program of Shanxi Province of China(202103021223191).; The minimal widths of three bounded subsets of the unit sphere associated to a unit vector in a normed linear space are studied,and three related geometric constants are introduced.New characterizations of inner produ...; 关键词：Birkhoff orthogonality isosceles orthogonality minimal width Singer orthogonality strong e-symmetry of Birkhoff orthogonality width function

PERIODIC SYSTEMS WITH TIME DEPENDENT MAXIMAL MONOTONE OPERATORS: 《Acta Mathematica Scientia》2024年第4期1280-1300,共21页Zhenhai LIU Nikolaos S.PAPAGEORGIOU; supported by the NSFC(12071413);the Guangxi Natural Sci-ence Foundation(2023GXNSFAA026085);the European Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement No.823731 CONMECH。; We consider a first order periodic system in R^(N),involving a time dependent maximal monotone operator which need not have a full domain and a multivalued perturbation.We prove the existence theorems for both the con...; 关键词：periodic boundary condition time-dependent maximal monotone operator convex and nonconvex problems extremal solutions strong relaxation

THREE KINDS OF DENTABILITIES IN BANACH SPACES AND THEIR APPLICATIONS: 《Acta Mathematica Scientia》2024年第2期445-454,共10页张子厚周晶; supported by the National Natural Science Foundation of China(12271344);the Natural Science Foundation of Shanghai(23ZR1425800)。; In this paper,we study some dentabilities in Banach spaces which are closely related to the famous Radon-Nikodym property.We introduce the concepts of the weak^(*)-weak denting point and the weak^(*)-weak^(*)denting p...; 关键词：weak^(*)-weak denting point nearly weak dentability very smooth space point of weak^(*)-weak continuity extreme point approximatively weak compactness w-strong proximinality REFLEXIVITY

ON SOME RESULTS RELATED TO SOBER SPACES: 《Acta Mathematica Scientia》2023年第4期1477-1490,共14页李庆国金梦洁苗化磷陈思恒; the NNSF of China(12231007)。; This paper investigates sober spaces and their related structures from different perspectives.First,we extend the descriptive set theory of second countable sober spaces to first countable sober spaces.We prove that a...; 关键词：sober space descriptive set theory function space strong d-space product space REFLECTION

SOME EQUIVALENT CONDITIONS OF PROXIMINALITY IN NONREFLEXIVE BANACH SPACES: 《Acta Mathematica Scientia》2022年第4期1621-1630,共10页Zihou ZHANG Yu ZHOU Chunyan LIU Jing ZHOU; supported by the National Natural Science Foundation of China(11671252);supported by the National Natural Science Foundation of China(11771278)。; In this paper,we discuss the relation between τ-strongly Chebyshev,approximatively τ-compact k-Chebyshev,approximatively τ-compact,τ-strongly proximinal and proximinal sets,where τ is the norm or the weak topolog...; 关键词：Approximativeτ-compactness τ-strong proximinality proximinality Chebyshev set nearly strong convexity k-strong convexity k-strict convexity nearly strict convexity

STRONG EQUIVALENCES OF APPROXIMATION NUMBERS AND TRACTABILITY OF WEIGHTED ANISOTROPIC SOBOLEV EMBEDDINGS: 《Acta Mathematica Scientia》2020年第6期1765-1782,共18页Jidong HAO Heping WANG; the National Natural Science Foundation of China(11671271);the Natural Science Foundation of Beijing Municipality(1172004).; In this article,we study multivariate approximation defined over weighted anisotropic Sobolev spaces which depend on two sequences a={a j}j≥1 and b={b j}j≥1 of positive numbers.We obtain strong equivalences of the a...; 关键词：strong equivalences TRACTABILITY approximation numbers weighted anisotropic spaces analytic Korobov spaces

LARGE TIME BEHAVIOR OF SOLUTION TO NONLINEAR DIRAC EQUATION IN 1+1 DIMENSIONS: 《Acta Mathematica Scientia》2019年第2期597-606,共10页Yongqian ZHANG Qin ZHAO; supported in part by NSFC Project(11421061);the 111 Project(B08018);Natural Science Foundation of Shanghai(15ZR1403900); This paper studies the large time behavior of solution for a class of nonlinear massless Dirac equations in R^(1+1). It is shown that the solution will tend to travelling wave solution when time tends to infinity.; 关键词：large time behavior NONLINEAR DIRAC EQUATION gross-Neveu model global STRONG SOLUTION gravelling wave SOLUTION

STRONG COMPARISON PRINCIPLES FOR SOME NONLINEAR DEGENERATE ELLIPTIC EQUATIONS被引量：1: 《Acta Mathematica Scientia》2018年第5期1583-1590,共8页Yanyan LI Bo WANG; partially supported by NSF grant DMS-1501004;partially supported by NSFC(11701027); In this paper, we obtain the strong comparison principle and Hopf Lemma for locally Lipschitz viscosity solutions to a class of nonlinear degenerate elliptic operators of the form △2ψ ＋ L（x,△ ψ）, including the ...; 关键词：Hopf lemma strong comparison principle degenerate ellipticity conformal invariance

ON GENERALIZED FEYNMAN-KAC TRANSFORMATION FOR MARKOV PROCESSES ASSOCIATED WITH SEMI-DIRICHLET FORMS: 《Acta Mathematica Scientia》2016年第6期1683-1698,共16页韩新方马丽; supported by NSFC(11201102,11326169,11361021);Natural Science Foundation of Hainan Province(112002,113007); Suppose that X is a right process which is associated with a semi-Dirichlet form （ε, D（ε）） on L2（E; m）. Let J be the jumping measure of （ε, D（ε）） satisfying J（E x E- d）〈 ∞. Let u E D（ε）b ：= D（...; 关键词：semi-Dirichlet form generalized Feynman-Kac semigroup strong continuity lower semi-bounded representation of local continuous additive functionalwith zero quadratic variation

CONVERGENCE RATE OF SOLUTIONS TO STRONG CONTACT DISCONTINUITY FOR THE ONE-DIMENSIONAL COMPRESSIBLE RADIATION HYDRODYNAMICS MODEL被引量：2: 《Acta Mathematica Scientia》2016年第1期265-282,共18页陈正争柴晓娟王文娟; supported by the Doctoral Scientific Research Funds of Anhui University(J10113190005);the Tian Yuan Foundation of China(11426031); This paper is concerned with a singular limit for the one-dimensional compress- ible radiation hydrodynamics model. The singular limit we consider corresponds to the physical problem of letting the Bouguer number infi...; 关键词：radiation hydrodynamics model singular limit contact discontinuity conver-gence rate energy estimates

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