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

Autor(es)

Pereira, Marcone C. ; Pires, Leonardo

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF EVOLUTION EQUATIONS; v. 24, n. 1, p. 41-pg., 2024-03-01.

Resumo

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. (AU)

• Processo FAPESP: 20/14075-6 - Sistemas dinâmicos e seus atratores sob perturbação
• Beneficiário: Alexandre Nolasco de Carvalho
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 20/04813-0 - Análise assintótica e qualitativa de equações integro-diferenciais
• Beneficiário: Marcone Corrêa Pereira
• Modalidade de apoio: Auxílio à Pesquisa - Regular