On the existence of pullback attractors for non-autonomous reaction-diffusion equations

被引：56

作者：

Wang, Yonghai ^{[1
]}

Zhong, Chengkui ^{[1
]}

机构：

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

来源：

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2008年 / 23卷 / 01期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1080/14689360701611821

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the existence of pullback attractors for a nonautonomous nonlinear reaction-diffusion equation with a nonlinearity having a polynomial growth of arbitrary order p-1 (p >= 2). The pullback attractors are obtained in H-0(1)(Q). For this purpose, some abstract results are established by the method of measure of noncompactness.

引用

页码：1 / 16

页数：16

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