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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:417

Article

Krause, Andrew¹  Wang, Bixiang¹ 

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

关键词: Pullback attractor;    Random attractor;    Periodic attractor;    p-Laplace equation;   

DOI  :  10.1016/j.jmaa.2014.03.037

来源: Elsevier

【 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.

【 授权许可】

Free