Open Mathematics (Nov 2019)

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

  • Yao Xiaobin,
  • Liu Xilan

DOI
https://doi.org/10.1515/math-2019-0092
Journal volume & issue
Vol. 17, no. 1
pp. 1281 – 1302

Abstract

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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.

Keywords