Pullback attractors of non-autonomous stochastic degenerate parabolic equations on unbounded domains

被引：57

作者：

Krause, Andrew ^{[1
]}

Wang, Bixiang ^{[1
]}

机构：

[1] New Mexico Inst Min & Technol, Dept Math, Socorro, NM 87801 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 417卷 / 02期

关键词：

Pullback attractor; Random attractor; Periodic attractor; p-Laplace equation; EXISTENCE; BEHAVIOR;

D O I：

10.1016/j.jmaa.2014.03.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with pullback attractors of the stochastic p-Laplace equation defined on the entire space R-n. We first establish the asymptotic compactness of the equation in L-2(R-n) and then prove the existence and uniqueness of non-autonomous random attractors. This attractor is pathwise periodic if the non-autonomous deterministic forcing is time periodic. The difficulty of non-compactness of Sobolev embeddings on R-n is overcome by the uniform smallness of solutions outside a bounded domain. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：1018 / 1038

页数：21

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