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

被引：0

作者：

Yao, Xiao Bin ^{[1
]}

机构：

[1] Qinghai Minzu Univ, Sch Math & Stat, Xining 810007, Qinghai, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2023年 / 2023卷 / 01期

关键词：

Plate equation; Colored noise; Asymptotic compactness; Random attractor; Unbounded domain; REACTION-DIFFUSION EQUATIONS; CRITICAL EXPONENT; GLOBAL ATTRACTORS; EXISTENCE; DYNAMICS;

D O I：

10.1186/s13661-023-01715-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates mainly the asymptotic behavior of the nonautonomous random dynamical systems generated by the plate equations driven by colored noise defined on R-n. 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

引用

页数：34

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