ON THE EXISTENCE OF GLOBAL ATTRACTOR FOR A CLASS OF INFINITE DIMENSIONAL DISSIPATIVE NONLINEAR DYNAMICAL SYSTEMS

被引：0

作者：

ZHONG CHENGKUI SUN CHUNYOU NIU MINGFEI School of Mathematics and Statistics Lanzhou University Lanzhou China School of Mathematics and Statistics Lanzhou University Lanzhou China ^{[730000
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机构：

来源：

Chinese Annals of Mathematics | 2005年 / 03期

关键词：

Global attractor; Measures of noncompactness; Reaction-diffusion equations;

D O I：

暂无

中图分类号：

O19 [动力系统理论];

学科分类号：

070104 ; 0711 ; 071101 ;

摘要：

<正>By means of a nonstandard estimation about the energy functional, the authors prove the existence of a global attractor for an abstract nonlinear evolution equation. As an application, the existence of a global attractor for some nonlinear reaction-diffusion equations with some distribution derivatives in inhomogeneous terms is obtained.

引用

页码：393 / 400

页数：8