Compact attractors of fourth order parabolic equations on Rn

被引：3

作者：

Xiao, Haibin ^{[1
]}

机构：

[1] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 18期

基金：

中国国家自然科学基金;

关键词：

Global attractor; Fourth order parabolic equations; Unbounded domain; Tail estimate; REACTION-DIFFUSION EQUATIONS; DAMPED WAVE-EQUATIONS; CRITICAL EXPONENT; GLOBAL ATTRACTOR; PLATE EQUATION; EXISTENCE;

D O I：

10.1016/j.amc.2013.03.121

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is addressed to study long-time behavior of fourth order parabolic equations with a critical exponent on unbounded domain R-n. We show that there exists a compact global attractor in H-2. The attractor is characterized as the unstable manifold of the set of stationary points, due to the gradient property of the system. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：9827 / 9837

页数：11

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