Topological stability of Chafee-Infante equations under Lipschitz perturbations of the domain and equation

被引：4
|
作者：
Lee, Jihoon [1 ]
Nguyen, Ngocthach [2 ]
机构：
[1] Chonnam Natl Univ, Dept Math, Gwangju 61186, South Korea
[2] Chungnam Natl Univ, Dept Math, Daejeon 34134, South Korea
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 517卷 / 02期
关键词：
Chafee-Infante equation; Geometric equivalence; Topological stability; Global attractor; Lipschitz perturbation; L-Morse-Smale; NONLINEAR BOUNDARY-CONDITIONS; REACTION-DIFFUSION EQUATIONS; ATTRACTORS; CONTINUITY;
D O I：
10.1016/j.jmaa.2022.126628
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the dynamics of Chafee-Infante equations under Lipschitz perturbations of the domain and equation. First, we describe the geometric equivalence between the global attractor A(0) of the Chafee-Infante equation and the global attractors A(eta )of the perturbed systems. Moreover, we show that the equation is topologically stable on its global attractor in the Gromov-Hausdorff sense. (C) 2022 Elsevier Inc. All rights reserved.
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页数：28
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