Pullback attractors for non-autonomous reaction-diffusion equations on ℝn

被引：0

作者：

Bixiang Wang

机构：

[1] New Mexico Institute of Mining and Technology,Department of Mathematics

来源：

Frontiers of Mathematics in China | 2009年 / 4卷

关键词：

Pullback attractor; asymptotic compactness; non-autonomous equation; 35B40; 35B41; 37L30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the long time behavior of solutions of the non-autonomous reaction-diffusion equation defined on the entire space ℝn when external terms are unbounded in a phase space. The existence of a pullback global attractor for the equation is established in L2(ℝn) and H1(ℝn), respectively. The pullback asymptotic compactness of solutions is proved by using uniform a priori estimates on the tails of solutions outside bounded domains.

引用

页码：563 / 583

页数：20

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