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HYPERBOLIC: 作品数：521被引量：498H指数：9; 导出分析报告; 相关领域：理学更多>>; 相关作者：曾文平孙大洋刘炳日王爱民刘衍珩更多>>; 相关机构：福州大学华侨大学吉林大学沈阳工业大学更多>>; 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国家教育部博士点基金福建省自然科学基金更多>>

Conformal Composition for Borderline Fractional Sobolev Spaces: 《Acta Mathematica Sinica,English Series》2025年第1期457-471,共15页Nijjwal Karak Pekka Koskela Debanjan Nandi Swadesh Kumar Sahoo; Supported by the Academy of Finland via Centre of Excellence in Analysis and Dynamics Research(Grant No.323960);ISF(Grant No.1149/18)。; We establish a pointwise property for homogeneous fractional Sobolev spaces in domains with non-empty boundary,extending a similar result of Koskela–Yang–Zhou.We use this to show that a conformal map from the unit d...; 关键词：BESOV Hajlasz–Triebel–Lizorkin hyperbolic CONFORMAL

Quasi-shadowing for Z^(d)-actions: 《Acta Mathematica Sinica,English Series》2024年第6期1563-1580,共18页Juan PAN Xian Kun REN Yun Hua ZHOU; supported by the Science and Technology Research Program of Chongqing Municipal Education Commission(Grant No.KJQN202300802);the second author is supported by NSFC(Grant Nos.11801261,12071285);the third author is supported by NSFC(Grant Nos.11871120,12071082);Natural Science Foundation of Chongqing(Grant No.cstc2021jcyj-msxmX0299)。; A diffeomorphism is non-uniformly partially hyperbolic if it preserves an ergodic measure with at least one zero Lyapunov exponent.We prove that a C^(1)-smooth Z^(d)-action has the quasishadowing property if one of th...; 关键词：Quasi-shadowing Z^(d)-action non-uniformly partially hyperbolic ergodic measure

Differential Evolution Hemivariational Inequalities with Anti-periodic Conditions被引量：1: 《Acta Mathematica Sinica,English Series》2024年第4期1143-1160,共18页Jing ZHAO Chun Mei GAN Zhen Hai LIU; NSF of Guangxi(Grant No.2023GXNSFAA026085);Guangxi Science and Technology Department Specific Research Project of Guangxi for Research Bases and Talents(Grant No.AD23023001);NNSF of China Grant Nos.12071413,12111530282 the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement No.823731 CONMECH;the Innovation Project of Guangxi University for Nationalities(Grant No.gxun-chxps202072)。; The goal of this paper is to deal with a new dynamic system called a differential evolution hemivariational inequality(DEHVI)which couples an abstract parabolic evolution hemivariational inequality and a nonlinear dif...; 关键词：Differential parabolic hemivariational inequality Clarke subdifferential hyperbolicparabolic system parabolic-parabolic system existence result

Multiscale Analysis of Semilinear Damped Stochastic Wave Equations: 《Acta Mathematica Sinica,English Series》2023年第7期1305-1331,共27页Aurelien FOUETIO Gabriel NGUETSENG Jean Louis WOUKENG; In this paper we proceed with the multiscale analysis of semilinear damped stochastic wave motions. The analysis is made by combining the well-known sigma convergence method with its stochastic counterpart, associated...; 关键词：Hyperbolic stochastic equations Wiener Process sigma convergence tightness of probability measures

Pointwise Characterizations of Besov and Triebel–Lizorkin Spaces with Generalized Smoothness and Their Applications被引量：1: 《Acta Mathematica Sinica,English Series》2022年第4期623-661,共39页Zi Wei LI Da Chun YANG Wen YUAN; the National Natural Science Foundation of China(Grant Nos.11971058,12071197 and 11871100);the National Key Research and Development Program of China(Grant No.2020YFA0712900)。; In this article,the authors first establish the point wise characterizations of Besov and Triebel-Lizorkin spaces with generalized smoothness on R;via the Hajlasz gradient sequences,which serve as a way to extend thes...; 关键词：Besov space Triebel-Lizorkin space generalized smoothness Hajlasz gradient hyperbolic filling trace

Volume of Singular Hyperbolic Sets: 《Acta Mathematica Sinica,English Series》2021年第10期1507-1512,共6页Dao Fei ZHANG Yun Tao ZANG; support of Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice;the Project funded by China Postdoctoral Science Foundation(Grant No.2020TQ0098)。; Let X be a C^(1+)vector field on a compact Riemannian manifold M with dimension d≥3.LetΛbe a transitive singular hypebolic set with positive volume.We show thatΛ=M andΛis a uniformly hyperbolic set without singula...; 关键词：Uniformly hyperbolic singular hyperbolic VOLUME

Isometric Embeddings of Subsets of Boundaries of Teichmüller Spaces of Compact Hyperbolic Riemann Surfaces: 《Acta Mathematica Sinica,English Series》2020年第5期605-619,共15页Guang Ming HU Yi QI; Supported by National Natural Science Foundation of China(Grant Nos.11871085,11371045)。; It is known that every finitely unbranched holomorphic covering π:S→S of a compact Riemann surface S with genus g≥2 induces an isometric embedding Φπ:Teich(S)→Teich(S).By the mutual relations between Strebel ray...; 关键词：TEICHMÜLLER SPACE AUGMENTED TEICHMÜLLER SPACE Strebel ray Busemann points

Quasi-shadowing Property on Random Partially Hyperbolic Sets被引量：2: 《Acta Mathematica Sinica,English Series》2018年第9期1429-1444,共16页Lin WANG Xin Sheng WANG Yu Jun ZHU; supported by NSFC(Grant Nos.11371120 and 11771118);supported by Fundamental Research Funds for the Central University,China(Grant No.20720170004); Abstract In this paper we investigate the quasi-shadowing property for C1 random dynamical sys-terns on their random partially hyperbolic sets. It is shown that for any pseudo orbit {xk}＋∞ -∞ on a random partially ...; 关键词：Quasi-shadowing property random partially hyperbolic set local product structure

Homogenization of Hyperbolic Damped Stochastic Wave Equations: 《Acta Mathematica Sinica,English Series》2018年第2期233-254,共22页Aurelien FOUETIO Jean Louis WOUKENG; the support of the CETIC(African Center of Excellence in Information and Communication Technologies);the support of the Humboldt Foundation; For a family of linear hyperbolic damped stochastic wave equations with rapidly oscillating coefficients, we establish the homogenization result by using the sigma-convergence method. This is achieved under an abstrac...; 关键词：Algebras with mean value stochastic hyperbolic partial differential equations Wiener process sigma-convergence

Accessibility and Homology Bounded Strong Unstable Foliation for Anosov Diffeomorphisms on 3-torus: 《Acta Mathematica Sinica,English Series》2017年第1期71-76,共6页Yan REN Shao Bo GAN Peng Fei ZHANG; Supported by 973 Project(Grant No.2011CB808002);NSFC(Grant Nos.11025101 and 11231001); We give three equivalent conditions for non-accessibility of an Anosov diffeomorphism on the 3-torus with a partially hyperbolic splitting. Since accessibility is an open property, this gives a negative answer to Hamm...; 关键词：Partially hyperbolic accessible homology bounded

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