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
收藏
页码：1 / 16
页数：16
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