GLOBAL ATTRACTOR OF THE WEAKLY DAMPED WAVE EQUATION WITH NONLINEAR BOUNDARY CONDITIONS

被引：2

作者：

Zhu, Chaosheng ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2012年 / 27卷 / 01期

关键词：

wave equation; nonlinear boundary conditions; global attractor;

D O I：

10.4134/CKMS.2012.27.1.097

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the main purpose is to study existence of the global attractorsf or the weakly damped wave equation with nonlinear boundary conditions. To this end, we first show that the existence of a bounded absorbing set by the perturbed energy method. Secondly, we utilize the decomposition of the solution operator to verify the asymptotic compactness.

引用

页码：97 / 106

页数：10

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