Pullback Attractors of Non-autonomous Stochastic Degenerate Parabolic Equations on Unbounded Domains
Analysis of PDEs
2014-09-30 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1309.1211,
title = {Pullback Attractors of Non-autonomous Stochastic Degenerate Parabolic Equations on Unbounded Domains},
author = {Andrew Krause and Bixiang Wang},
journal= {arXiv preprint arXiv:1309.1211},
year = {2014}
}