Attractors for strongly damped wave equations with critical exponent

被引：21
|
作者：
Zhou, SF [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2003年 / 16卷 / 08期
关键词：
wave equation; global attractor; equivalent norm;
D O I：
10.1016/S0893-9659(03)90134-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence of the global attractor for the semigroup generated by strongly damped wave equations when the nonlinearity has a critical growth exponent. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1307 / 1314
页数：8
相关论文
共 50 条
  • [41] Attractors for Damped Quintic Wave Equations in Bounded Domains
    Varga Kalantarov
    Anton Savostianov
    Sergey Zelik
    [J]. Annales Henri Poincaré, 2016, 17 : 2555 - 2584
  • [42] On the upper semicontinuity of global attractors for damped wave equations
    Shomberg, Joseph L.
    [J]. AIMS MATHEMATICS, 2017, 2 (03): : 557 - 561
  • [43] TIME-DEPENDENT GLOBAL ATTRACTORS FOR THE STRONGLY DAMPED WAVE EQUATIONS WITH LOWER REGULAR FORCING TERM
    Mei, Xinyu
    Sun, Tao
    Xie, Yongqin
    Zhu, Kaixuan
    [J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2022, 60 (02) : 653 - 672
  • [44] Upper semicontinuity of global attractors for damped wave equations
    Wang, Yonghai
    Zhong, Chengkui
    [J]. ASYMPTOTIC ANALYSIS, 2015, 91 (01) : 1 - 10
  • [45] Lower Semicontinuity of Pullback Attractors for a Non-autonomous Coupled System of Strongly Damped Wave Equations
    Bonotto, Everaldo M.
    Carvalho, Alexandre N.
    Nascimento, Marcelo J. D.
    Santiago, Eric B.
    [J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2024, 90 (01):
  • [46] Qualitative theory for strongly damped wave equations
    Azevedo, Joelma
    Cuevas, Claudio
    Soto, Herme
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (18) : 6944 - 6975
  • [47] Asymptotic Periodicity for Strongly Damped Wave Equations
    Cuevas, Claudio
    Lizama, Carlos
    Soto, Herme
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [48] ON THE ASYMPTOTIC BEHAVIOR OF STRONGLY DAMPED WAVE EQUATIONS
    Du, Yunlong
    Li, Xin
    Sun, Chunyou
    [J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2014, 44 (01) : 161 - 175
  • [49] CRITICAL EXPONENT FOR A DAMPED WAVE SYSTEM WITH FRACTIONAL INTEGRAL
    Wu, Mijing
    Li, Shengjia
    Lu, Liqing
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
  • [50] GLOBAL ATTRACTORS FOR SEMILINEAR WAVE-EQUATIONS WITH LOCALLY DISTRIBUTED NONLINEAR DAMPING AND CRITICAL EXPONENT
    FEIREISL, E
    ZUAZUA, E
    [J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1993, 18 (9-10) : 1539 - 1555
12345