Global attractors for semilinear damped wave equations with critical exponent on Rn

被引：1

作者：

Xiao, Haibin ^{[1
,2
]}

机构：

[1] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China

[2] Nanjing Univ, Dept Math, Jiangsu 210093, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 41卷 / 05期

关键词：

UNBOUNDED DOMAIN; EXISTENCE;

D O I：

10.1016/j.chaos.2008.09.054

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Long-time dynamical properties for a class of semilinear damped wave equations with critical exponent on unbounded domain R(n) are studied. The existence of compact global attractors for these equations in natural energy space is proved. These attractors are characterized as the unstable manifold of the set of stationary points, due to the existence of a Lyapunov functional. (C) 2009 Published by Elsevier Ltd.

引用

页码：2546 / 2552

页数：7

共 50 条

[31] ATTRACTORS FOR DAMPED SEMILINEAR WAVE EQUATIONS WITH SINGULARLY PERTURBED ACOUSTIC BOUNDARY CONDITIONS
Shomberg, Joseph L.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
[32] ATTRACTORS FOR WAVE-EQUATIONS WITH NONLINEAR DISSIPATION AND CRITICAL EXPONENT
FEIREISL, E
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1992, 315 (05): : 551 - 555
[33] Combining solutions of semilinear partial differential equations in Rn with critical Sobolev exponent
Leung, MC
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2004, 29 (5-6) : 763 - 784
[34] Critical regularity of nonlinearities in semilinear classical damped wave equations
M. R. Ebert
G. Girardi
M. Reissig
Mathematische Annalen, 2020, 378 : 1311 - 1326
[35] Critical regularity of nonlinearities in semilinear classical damped wave equations
Ebert, M. R.
Girardi, G.
Reissig, M.
MATHEMATISCHE ANNALEN, 2020, 378 (3-4) : 1311 - 1326
[36] GLOBAL EXISTENCE FOR SEMILINEAR DAMPED WAVE EQUATIONS IN THE SCATTERING CASE
Bai, Yige
Liu, Mengyun
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2019, 32 (3-4) : 233 - 248
[37] Global averaging and parametric resonances in damped semilinear wave equations
Zelik, S.
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2006, 136 : 1053 - 1097
[38] Pullback Attractors for a Damped Semilinear Wave Equation with Delays
Kai Xuan Zhu
Yong Qin Xie
Feng Zhou
Acta Mathematica Sinica, English Series, 2018, 34 : 1131 - 1150
[39] Blow-up for semilinear damped wave equations with subcritical exponent in the scattering case
Lai, Ning-An
Takamura, Hiroyuki
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2018, 168 : 222 - 237
[40] Global attractors for semilinear hyperbolic equations
Xiao, Ti-Jun
Ding, Hui-Sheng
Liang, Jin
CHAOS SOLITONS & FRACTALS, 2008, 37 (04) : 1040 - 1047

← 1 2 3 4 5 →