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.

引用

页数：28

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