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.
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页码：563 / 583
页数：20
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