Random attractors for non-autonomous stochastic wave equations with nonlinear damping and white noise

被引：0
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作者：
Huazhen Yao
Jianwen Zhang
机构：
[1] Taiyuan University of Technology,College of Mechanical and Vehicle Engineering
[2] Taiyuan University of Technology,College of Mathematics
来源：
Advances in Difference Equations | / 2020卷
关键词：
Random attractors; Additive white noise; Nonlinear damping; Non-autonomous stochastic wave equation;
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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 H01×L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$H_{0}^{1}\times L^{2}$\end{document}.
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