Attractors in L2(RN) for a class of reaction-diffusion equations

被引：11

作者：

Zhang Yanhong ^{[1
]}

Zhong Chengkui ^{[2
]}

Wang Suyun ^{[1
]}

机构：

[1] Lanzhou City Univ, Dept Math, Lanzhou 730070, Peoples R China

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 5-6期

基金：

美国国家科学基金会;

关键词：

Nonlinear reaction-diffusion equation; omega-limit compactness; Absorbing set; Global attractor;

D O I：

10.1016/j.na.2009.01.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of nonlinear reaction-diffusion equations is studied. We prove that the semigroup of the solutions for the nonlinear reaction-diffusion equation has a global attractor in L-2(R-N) under some weaker assumptions than those in other papers we could find. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1901 / 1908

页数：8

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