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

Author

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  • Cui, Hongyong
  • Li, Yangrong

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.

Suggested Citation

  • Cui, Hongyong & Li, Yangrong, 2015. "Existence and upper semicontinuity of random attractors for stochastic degenerate parabolic equations with multiplicative noises," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 777-789.
    • Handle: RePEc:eee:apmaco:v:271:y:2015:i:c:p:777-789
    DOI: 10.1016/j.amc.2015.09.031
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    Cited by:

    1. Xin Liu & Yanjiao Li, 2023. "Dynamics of Non-Autonomous Stochastic Semi-Linear Degenerate Parabolic Equations with Nonlinear Noise," Mathematics, MDPI, vol. 11(14), pages 1-24, July.
    2. Wang, Renhai & Li, Yangrong, 2019. "Regularity and backward compactness of attractors for non-autonomous lattice systems with random coefficients," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 86-102.
    3. Zhao, Wenqiang & Zhang, Yijin, 2016. "Compactness and attracting of random attractors for non-autonomous stochastic lattice dynamical systems in weighted space ℓρp," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 226-243.

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