@article{Yao2022, 
author = {Xiao Bin Yao and Chan Yue},
title = {Asymptotic behavior of plate equations with memory driven by colored noise on unbounded domains},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {10},
pages = {18497-18531},
keywords = {plate equation, colored noise, memory, asymptotic compactness, random attractor, unbounded domain},
url = {https://www.sciopen.com/article/10.3934/math.20221017},
doi = {10.3934/math.20221017},
abstract = {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              R        n  . Firstly, we prove the well-posedness of the equation in the natural energy space. Secondly, we define a continuous cocycle associated with the solution operator. Finally, we establish the existence and uniqueness of random attractors of the equation by the uniform tail-ends estimates methods and the splitting technique.}
}