Random Attractor for Non-Autonomous Stochastic Extensible Plate Equation on Unbounded Domains

Xiaobin Yao

doi:10.9734/arjom/2019/v13i230102

Research Article Open access CC BY 4.0

Random Attractor for Non-Autonomous Stochastic Extensible Plate Equation on Unbounded Domains

Xiaobin Yao

Asian Research Journal of Mathematics · pp. 1–28 · Published 20 Mar 2019

10.9734/arjom/2019/v13i230102

Abstract

We study the asymptotic behavior of solutions to the non-autonomous stochastic extensible plate equation driven by additive noise defined on unbounded domains. We first prove the uniform estimates of solutions, and then establish the existence of a random attractor.

Pullback attractors extensible plate equation unbounded domains the splitting technique additive noise.

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Xiaobin Yao (2019). Random Attractor for Non-Autonomous Stochastic Extensible Plate Equation on Unbounded Domains. Asian Research Journal of Mathematics , 1–28. https://doi.org/10.9734/arjom/2019/v13i230102

Affiliations

Xiaobin Yao — School of Mathematics and Statistics, Qinghai Nationalities University, Xining, Qinghai, 810007, P.R. China.

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