Global Periodic Attractor for Strongly Damped and Driven Wave Equations

被引：0
|
作者：
Hong-yan Li Sheng-fan Zhou Department of Mathematics
机构：
来源：
Acta Mathematicae Applicatae Sinica(English Series) | 2006年 / 22卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Wave equation; global periodic attractor; equivalent norm;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper we consider the strongly damped and driven nonlinear wave equations under homo-geneous Dirichlet boundary conditions.By introducing a new norm which is equivalent to the usual norm,weobtain the existence of a global periodic attractor attracting any bounded set exponentially in the phase space,which implies that the system behaves exactly as a one-dimensional system.
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页码：75 / 80
页数：6
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