Attractors for Stochastic Reaction-Diffusion Equation with Additive Homogeneous Noise

被引：2
|
作者：
Slavik, Jakub [1 ]
机构：
[1] Czech Acad Sci, Inst Informat Theory & Automat, Vodarenskou Vezi 4, Prague 18200 8, Czech Republic
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2021年 / 71卷 / 01期
关键词：
reaction-diffusion equation; random attractor; spatially homogeneous noise; EVOLUTION-EQUATIONS; PULLBACK ATTRACTORS; DRIVEN; EXISTENCE;
D O I：
10.21136/CMJ.2020.0144-19
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the asymptotic behaviour of solutions of a reaction-diffusion equation in the whole space Double-struck capital R(d)driven by a spatially homogeneous Wiener process with finite spectral measure. The existence of a random attractor is established for initial data in suitable weightedL(2)-space in any dimension, which complements the result from P. W. Bates, K. Lu, and B. Wang (2013). Asymptotic compactness is obtained using elements of the method of short trajectories.
引用
收藏
页码：21 / 43
页数：23
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