Random attractors for wave equations on unbounded domains
Bixiang Wang Xiaoling Gao
Conference Publications 2009, 2009(Special): 800-809 doi: 10.3934/proc.2009.2009.800
The asymptotic behavior of stochastic wave equations on $\mathbb{R}^n$ is studied. The existence of a random attractor for the corresponding random dynamical system in $H^1(\mathbb{R}^n) \times L^2(\mathbb{R}^n)$ is established, where the nonlinearity has an arbitrary growth order for $n \le 2$ and is subcritical for $n=3$.
keywords: Random attractor asymptotic compactness wave equation

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