Random attractor for stochastic reaction-diffusion equation with multiplicative noise on unbounded domains |
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Authors: | Zhaojuan Wang |
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Institution: | Department of Mathematics, Shanghai Normal University, Shanghai 200234, PR China |
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Abstract: | In this paper we study the asymptotic dynamics for stochastic reaction-diffusion equation with multiplicative noise defined on unbounded domains. We investigate the existence of a random attractor for the random dynamical system associated with the equation. The asymptotic compactness of the random dynamical system is established by using uniform a priori estimates for far-field values of solutions and a cut-off technique. |
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Keywords: | Stochastic reaction-diffusion equation Random dynamical system Random attractor |
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