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

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