Random attractors of reaction-diffusion equations with multiplicative noise in Lp

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摘要

In this paper, we study the random dynamical system (RDS) generated by the reaction-diffusion equation with multiplicative noise and prove the existence of a random attractor for such RDS in Lp(D) for any p⩾2.

论文关键词：Random dynamical systems (RDS),Random attractors,Reaction-diffusion equations,Multiplicative noise,Wiener process,Quasi-continuity

论文评审过程：Available online 22 October 2009.

论文官网地址：https://doi.org/10.1016/j.amc.2009.10.033