Random attractors for non-autonomous stochastic plate equations with multiplicative noise and nonlinear damping

Xiaobin Yao; Xiaobin Yao

doi:10.3934/math.2020169

AIMS Mathematics

2020, Volume 5, Issue 3: 2577-2607. doi: 10.3934/math.2020169

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Research article

Random attractors for non-autonomous stochastic plate equations with multiplicative noise and nonlinear damping

Xiaobin Yao ^,

School of Mathematics and Statistics, Qinghai Nationalities University, Xi’ning, Qinghai, 810007, China

Received: 14 November 2019 Accepted: 01 February 2020 Published: 12 March 2020
MSC : 35B40, 35B41

Based on the abstract theory of pullback attractors of non-autonomous non-compact dynamical systems by differential equations with both dependent-time deterministic and stochastic forcing terms, which introduced by B. Wang, we investigate existence of pullback attractors for the non-autonomous stochastic plate equations with multiplicative noise defined in the entire space $\mathbb{R}^n$.
- pullback attractors,
- plate equation,
- unbounded domains,
- multiplicative white noise
Citation: Xiaobin Yao. Random attractors for non-autonomous stochastic plate equations with multiplicative noise and nonlinear damping[J]. AIMS Mathematics, 2020, 5(3): 2577-2607. doi: 10.3934/math.2020169

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Abstract

Based on the abstract theory of pullback attractors of non-autonomous non-compact dynamical systems by differential equations with both dependent-time deterministic and stochastic forcing terms, which introduced by B. Wang, we investigate existence of pullback attractors for the non-autonomous stochastic plate equations with multiplicative noise defined in the entire space $\mathbb{R}^n$.

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