Rate of convergence for reaction-diffusion equations with nonlinear Neumann boundary conditions andC1variation of the domain

被引：0

作者：

Pereira, Marcone C. ^{[1
]}

Pires, Leonardo ^{[2
]}

机构：

[1] Univ Sao Paulo, Sao Paulo, SP, Brazil

[2] Univ Estadual Ponta Grossa, Ponta Grossa, PR, Brazil

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2024年 / 24卷 / 01期

基金：

巴西圣保罗研究基金会; 瑞典研究理事会;

关键词：

Reaction-diffusion equations; Global attractors; Rate of convergence of attractors; Domain perturbations; RAPIDLY VARYING BOUNDARIES; PARABOLIC PROBLEMS; ATTRACTORS; CONTINUITY; PERTURBATIONS; DYNAMICS;

D O I：

10.1007/s00028-023-00934-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose the compact convergence approach to deal with the continuity of attractors of some reaction-diffusion equations under smooth perturbations of the domain subject to nonlinear Neumann boundary conditions. We define a family of invertible linear operators to compare the dynamics of perturbed and unperturbed problems in the same phase space. All continuity arising from small smooth perturbations will be estimated by a rate of convergence given by the domain variation in a C-1 topology.

引用

页数：41

共 33 条

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