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Asymptotic behavior for stochastic plate equations with memory in unbounded domains

  • Xiao Bin Yao ORCID logo EMAIL logo
Published/Copyright: October 6, 2022

Abstract

In this paper, we investigate the dynamics of stochastic plate equations with memory in unbounded domains. More specifically, we obtain the uniform in time estimates for solutions of the problem. Based on the estimates above, we prove the existence and uniqueness of random attractors in unbounded domains. Finally, we show the upper semicontinuity of the attractors when stochastic perturbations approaches zero.

2010 MR Subject Classification: 35B40; 35B41; 37L55; 35R60

Corresponding author: Xiao Bin Yao, School of Mathematics and Statistics, Qinghai Minzu University, Xi’ning, Qinghai 810007, P. R. China, E-mail:

Funding source: National Natural Science Foundation of China

Award Identifier / Grant number: 12161071, 11961059

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: This work was supported by the National Natural Science Foundations of China (Nos. 12161071, 11961059).

  3. Conflict of interest statement: Not applicable.

  4. Availability of data and materials: Not applicable.

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Received: 2021-10-08
Revised: 2022-07-04
Accepted: 2022-09-18
Published Online: 2022-10-06

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