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  • 标题:Random attractors for non-autonomous stochastic wave equations with nonlinear damping and white noise
  • 本地全文:下载
  • 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;
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