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Wong-Zakai approximations and attractors for fractional stochastic reaction-diffusion equations on unbounded domains
Authors:Yaqing Sun  Hongjun Gao
Affiliation:Nanjing Normal University
Abstract:In this paper, we investigate the Wong-Zakai approximations induced by a stationary process and the long term behavior of the fractional stochastic reaction-diffusion equation driven by a white noise. Precisely, one of the main ingredients in this paper is to establish the existence and uniqueness of tempered pullback attractors for the Wong-Zakai approximations of fractional stochastic reaction-diffusion equations. Thereafter the upper semi-continuity of attractors for the Wong-Zakai approximation of the equation as $deltarightarrow0$ is proved.
Keywords:Fractional reaction-diffusion equation   Wong-Zakai approximation   random attractor   upper semi-continuity   white noise.
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