文章基本信息

标题：Random attractors for non-autonomous stochastic wave equations with nonlinear damping and white noise
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作者：Huazhen Yao ; Jianwen Zhang
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-19
DOI：10.1186/s13662-020-02664-3
出版社：Hindawi Publishing Corporation
摘要：This paper is concerned with the asymptotic behavior of solutions to a non-autonomous stochastic wave equation with additive white noise, for which the nonlinear damping has a critical cubic growth rate. By showing the pullback asymptotic compactness of the stochastic dynamic systems, we prove the existence of a random attractor in $H_(^) imes L^,$.
关键词：Random attractors;Additive white noise;Nonlinear damping;Non-autonomous stochastic wave equation;