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

Gang Wang and Yanbin Tang

Abstract and Applied Analysis, 2013, vol. 2013, 1-23

Abstract:

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

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:279509

DOI: 10.1155/2013/279509

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