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

页码：393 / 400

页数：8

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