Existence and upper semicontinuity of random attractors for stochastic degenerate parabolic equations with multiplicative noises

Hongyong Cui and Yangrong Li

Applied Mathematics and Computation, 2015, vol. 271, issue C, 777-789

Abstract: The existence and the upper semicontinuity of random attractors in L2(RN) for stochastic semi-linear degenerate parabolic equations with multiplicative noises are obtained. Though the spatial domain is the entire space RN, a compact embedding is applied to get the compactness of random absorbing sets, from which follows the compactness of the system and the precompactness of the union of all perturbed random attractors.

Keywords: Random attractor; Stochastic degenerate parabolic equation; Upper semicontinuity of random attractors; Multiplicative noise (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:271:y:2015:i:c:p:777-789

DOI: 10.1016/j.amc.2015.09.031

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