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Existence and upper semi-continuity of random attractors for non-autonomous stochastic plate equations with multiplicative noise on R^n
Qiaozhen Ma,Xiaobin Yao,Tingting Liu
Keywords:Random attractor, stochastic plate equation, upper semi-continuity.
Abstract:
      Based on the abstract theory of random attractors of non-autonomous non-compact dynamical systems, we investigate existence and the upper semi-continuity of random attractors for the non-autonomous stochastic plate equations with multiplicative noise defined on the entire space $\mathbb{R}^n$. We extend and improve the results of \cite{Yao} not only from the additive white noise to the multiplicative white noise, but also from the time-independent of forcing term $g(x)$ to the time-dependent forcing term $g(x,t)$.