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Asymptotic behavior for stochastic plate equations with memory and additive noise on unbounded domains

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Yao is supported by NSFC grant (11561064, 11361053), Key projects of university level planning in Qinghai Nationalities University grant(2021XJGH01), Scientific Research Innovation Team in Qinghai Nationalities University

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  • In this paper we study asymptotic behavior of a class of stochastic plate equations with memory and additive noise. First we introduce a continuous cocycle for the equation and establish the pullback asymptotic compactness of solutions. Second we consider the existence and upper semicontinuity of random attractors for the equation.

    Mathematics Subject Classification: Primary: 35B25, 37L30; Secondary: 45K05.


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