Asymptotic behavior of plate equations with memory driven by colored noise on unbounded domains

The paper investigates mainly the asymptotic behavior of the non-autonomous random dynamical systems generated by the plate equations with memory driven by colored noise defined on $ \mathbb{R}^n $. Firstly, we prove the well-posedness of the equation in the natural energy space. Secondly, we define...

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Bibliographic Details
Main Authors: Xiao Bin Yao, Chan Yue
Format: Article
Language:English
Published: AIMS Press 2022-08-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20221017?viewType=HTML