Random Attractor for Non-Autonomous Stochastic Extensible Plate Equation on Unbounded Domains
Xiaobin Yao *
School of Mathematics and Statistics, Qinghai Nationalities University, Xining, Qinghai, 810007, P.R. China.
*Author to whom correspondence should be addressed.
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.
Keywords: Pullback attractors, extensible plate equation, unbounded domains, the splitting technique, additive noise.
How to Cite
Yao, Xiaobin. 2019. “Random Attractor for Non-Autonomous Stochastic Extensible Plate Equation on Unbounded Domains”. Asian Research Journal of Mathematics 13 (2):1-28. https://doi.org/10.9734/arjom/2019/v13i230102.
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