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Dynamics for the Stochastic Plate Equations of Kirchhoff Type on $\mathbb{R}^n$

Dynamics for the Stochastic Plate Equations of Kirchhoff Type on $\mathbb{R}^n$

Year:    2025

Author:    Xiaobin Yao, Chan Yue

Journal of Partial Differential Equations, Vol. 38 (2025), Iss. 2 : pp. 184–206

Abstract

In this paper, we study mainly the long-time behavior of the stochastic plate equations of kirchhoff type with nonlinear damping on unbounded domains. Due to the lack of compactness of Sobolev embeddings on unbounded domains, pullback asymptotic compactness of cocycle associated with the system is proved by the tail-estimates method and splitting technique.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v38.n2.5

Journal of Partial Differential Equations, Vol. 38 (2025), Iss. 2 : pp. 184–206

Published online:    2025-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    23

Keywords:    Pullback attractors kirchhoff type plate equation unbounded domains the splitting technique.

Author Details

Xiaobin Yao

Chan Yue