Dynamical boundary conditions in a non-cylindrical domain for the Laplace equation

Autor(es)

Lopes, Pedro T. P. ^[1] ; Pereira, Marcone C. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Mathematical Analysis and Applications; v. 465, n. 1, p. 379-402, SEP 1 2018.
• Citações Web of Science: 0

Resumo

In this paper, we study existence, uniqueness and asymptotic behavior of the Laplace equation with dynamical boundary conditions on regular non-cylindrical domains. We write the problem as a non-autonomous Dirichlet-to-Neumann operator and use form methods in a more general framework to accomplish our goal. A class of non-autonomous elliptic problems with dynamical boundary conditions on Lipschitz domains is also considered in this same context. (C) 2018 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 16/07016-8 - Aplicações de métodos pseudo-diferenciais para problemas de contorno
• Beneficiário: Pedro Tavares Paes Lopes
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 17/02630-2 - Análise assintótica de equações diferenciais e integrais
• Beneficiário: Marcone Corrêa Pereira
• Modalidade de apoio: Auxílio à Pesquisa - Regular