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2009, 2009(Special): 800-809. doi: 10.3934/proc.2009.2009.800

Random attractors for wave equations on unbounded domains

Bixiang Wang 1, and  Xiaoling Gao 1,

1. 

Department of Mathematics, New Mexico Institute of Mining and Technology, Socorro, NM 87801, United States, United States

Received  July 2008 Revised  April 2009 Published  September 2009

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.
Mathematics Subject Classification: Primary: 37L55; Secondary: 60H15, 35B40.
Citation: Bixiang Wang, Xiaoling Gao. Random attractors for wave equations on unbounded domains. Conference Publications, 2009, 2009 (Special) : 800-809. doi: 10.3934/proc.2009.2009.800
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