Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains

被引：62

作者：

Arrieta, JM

Cholewa, JW

Dlotko, T

Rodríguez-Bernal, A

机构：

[1] Univ Complutense Madrid, Dept Matemat Aplicada, E-28040 Madrid, Spain

[2] Silesian Univ, Inst Math, PL-40007 Katowice, Poland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 56卷 / 04期

关键词：

dissipativity; attractors; asymptotic behavior; reaction-diffusion; assymptotic compactness; unbounded domains;

D O I：

10.1016/j.na.2003.09.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we give general and flexible conditions for a reaction diffusion equation to be dissipative in an-unbounded domain. The functional setting is based on standard Lebesgue and Sobolev-Lebesgue spaces. We show how the reaction and diffusion mechanisms have to work together to obtain the asymptotic compactness of solutions and therefore the existence of the compact attractor. In particular cases, our results allow us to improve some previous known results. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：515 / 554

页数：40

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