Pullback attractors of non-autonomous stochastic degenerate parabolic equations on unbounded domains |
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Authors: | Andrew Krause Bixiang Wang |
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Institution: | Department of Mathematics, New Mexico Institute of Mining and Technology, Socorro, NM 87801, USA |
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Abstract: | This paper is concerned with pullback attractors of the stochastic p -Laplace equation defined on the entire space Rn. We first establish the asymptotic compactness of the equation in L2(Rn) 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 Rn is overcome by the uniform smallness of solutions outside a bounded domain. |
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Keywords: | Pullback attractor Random attractor Periodic attractor p-Laplace equation |
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