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

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Bibliographic Details
Main Author: Xiao Bin, Yao
Format: Book
Language:English
Published: Springer 2023
Subjects:
nonautonomous random dynamical systems
well-posedness of the equation
Online Access:https://link.springer.com/article/10.1186/s13661-023-01715-4
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7634
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spelling oai:localhost:PNK-76342023-04-06T04:20:30Z Asymptotic behavior of plate equations driven by colored noise on unbounded domains Xiao Bin, Yao nonautonomous random dynamical systems well-posedness of the equation CC BY This paper investigates mainly the asymptotic behavior of the nonautonomous random dynamical systems generated by the plate equations driven by colored noise defined on Rn. First, 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. 2023-04-06T04:20:30Z 2023-04-06T04:20:30Z 2023 Book https://link.springer.com/article/10.1186/s13661-023-01715-4 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7634 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic nonautonomous random dynamical systems
well-posedness of the equation
spellingShingle nonautonomous random dynamical systems
well-posedness of the equation
Xiao Bin, Yao
Asymptotic behavior of plate equations driven by colored noise on unbounded domains
description CC BY
format Book
author Xiao Bin, Yao
author_facet Xiao Bin, Yao
author_sort Xiao Bin, Yao
title Asymptotic behavior of plate equations driven by colored noise on unbounded domains
title_short Asymptotic behavior of plate equations driven by colored noise on unbounded domains
title_full Asymptotic behavior of plate equations driven by colored noise on unbounded domains
title_fullStr Asymptotic behavior of plate equations driven by colored noise on unbounded domains
title_full_unstemmed Asymptotic behavior of plate equations driven by colored noise on unbounded domains
title_sort asymptotic behavior of plate equations driven by colored noise on unbounded domains
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1186/s13661-023-01715-4
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7634
_version_ 1762456093649272832
score 8.881002

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