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Asymptotic behavior for non-autonomous stochastic plate equation on unbounded domains

Xiaobin Yao, Xilan Liu
2019 Open Mathematics  
We study the asymptotic behavior of solutions to the non-autonomous stochastic plate equation driven by additive noise defined on unbounded domains. We first prove the uniform estimates of solutions, and then establish the existence and upper semicontinuity of random attractors.
doi:10.1515/math-2019-0092 fatcat:sn2ogp4tbba6rm6ezqfffbdhfe