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Pullback attractors of non-autonomous stochastic degenerate parabolic equations on unbounded domains.
- Source :
-
Journal of Mathematical Analysis & Applications . Sep2014, Vol. 417 Issue 2, p1018-1038. 21p. - Publication Year :
- 2014
-
Abstract
- Abstract: This paper is concerned with pullback attractors of the stochastic p-Laplace equation defined on the entire space . We first establish the asymptotic compactness of the equation in 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 is overcome by the uniform smallness of solutions outside a bounded domain. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 417
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 95670841
- Full Text :
- https://doi.org/10.1016/j.jmaa.2014.03.037