On the existence of global attractor for a class of infinite dimensional dissipative nonlinear dynamical systems

被引：17
|
作者：
Zhong, CK [1 ]
Sun, CY [1 ]
Niu, MF [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2005年 / 26卷 / 03期
关键词：
global attractor; measures of noncompactness; reaction-diffusion equations;
D O I：
10.1142/S0252959905000312
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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
收藏
页码：393 / 400
页数：8
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