-Random Attractors for Stochastic Reaction-Diffusion Equation on Unbounded Domains

作者: Gang Wang , Yanbin Tang

DOI: 10.1155/2013/279509

关键词:

摘要: We study the random dynamical system generated by a stochastic reaction-diffusion equation with additive noise on whole space and prove existence of an -random attractor for such system. The nonlinearity is supposed to satisfy growth arbitrary order (). -asymptotic compactness obtained using extended version tail estimate method introduced Wang (1999) cut-off technique.

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