ZERO-DIMENSIONAL GLOBAL ATTRACTOR OF DAMPED SINE-GORDON EQUATION

被引：0

作者：

秦文新

周盛凡

机构：

来源：

Acta Mathematicae Applicatae Sinica | 1998年 / 03期

关键词：

Global attractor; sine-Gordon equation; equilibrium point; Lyapunov function;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

We investigate the global attractor of damped sine-Gordon equation with homogeneousDirichlet boundary condition. We prove the existence of global attractor. Under some conditionson the parameters, we show the global attractor is zero-dimensional and is exactly the uniqueequilibrium point of the system.

引用

页码：260 / 264

页数：5

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