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Random attractors for wave equations on unbounded domains

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  • 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 $n=3$.
    Mathematics Subject Classification: Primary: 37L55; Secondary: 60H15, 35B40.

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