Main Article Content
This paper is devoted to the cocycle of solutions of the non-autonomous stochastic damped wave equations with multiplicative white noises defined on unbounded domains. And we obtain the existence of a pullback absorbing set of the cocycle in a certain parameter region.
Fan X. Attractors for a damped stochastic wave equation of sine-Gordon type with sublinear multiplicative noise. Stochastic Analysis and Applications. 2006;24:767-793.
Lv Y, Wang W. Limiting dynamics for stochastic wave equations. Journal Dierential Equations. 2008;244:1-23.
Caraballo T, Lukaszewicz G, Real J. Pullback attractors for asymptotically compact nonautonomous dynamical systems. Nonlinear Analysis: Theory, Methods and Applications. 2006;64:484-498.
Jones R, Wang B. Asymptotic behavior of a class of stochastic nonlinear wave equations with dispersive and dissipative terms.Nonlinear Analysis: Real World Applications. 2013;14:1308-1322.
Wang ZJ, Zhou S, Gu AH. Random attractor of the stochastic strongly damped wave equation. Commun. Nonlinear. Sci. Numer. Simulat. 2012;17:1649-1658.
Li H, You Y. Random attractor for stochastic wave equation with arbitrary exponent and additive noise on Rn. Dynamics of PDE. 2015;12:343-378.
Wang B, Random attractors for non-autonomous stochasitic wave equations with multiplicative noise. Discrete and Continuous Dynamical Systems. 2014;34(1):269-300.
Wang Z, Zhou S, Gu A. Random attractor for a stochastic damped wave equation with multiplicative noise on unbounded domains. Nonlinear Analysis: Real World Applications. 2011;12:3468-3482.
Li H, You Y, Tu J, Random attractors and averaging for non-autonomous stochastic wave equations with nonlinear damping. J. Dierential Equations. 2015;258:148-190.