Random Attractor for Non-autonomous Stochastic Strongly Damped Wave Equation on Unbounded Domains∗
نویسندگان
چکیده
In this paper we study the asymptotic dynamics for the nonautonomous stochastic strongly damped wave equation driven by additive noise defined on unbounded domains. First we introduce a continuous cocycle for the equation and then investigate the existence and uniqueness of tempered random attractors which pullback attract all tempered random sets.
منابع مشابه
Asymptotic Behavior of Stochastic Strongly Wave Equation on Unbounded Domains
We study the asymptotic behavior of solutions to the stochastic strongly damped wave equation with additive noise defined on unbounded domains. We first prove the uniform estimates of solutions, and then establish the existence of a random attractor.
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