Asymptotic behaviour of a parabolic problem with terms concentrated in the boundary

We analyze the asymptotic behavior of the attractors of a parabolic problem when some reaction and potential terms are concentrated in a neighborhood of a portion Gamma of the boundary and this neighborhood shrinks to Gamma as a parameter epsilon goes to zero. We prove that this family of attractors...

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Detalhes bibliográficos
Autores: Rodríguez Bernal, Aníbal, Jiménez Casas, Ángela
Tipo de documento: artigo
Data de publicação:2009
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositório:Docta Complutense
Idioma:inglês
OAI Identifier:oai:docta.ucm.es:20.500.14352/49709
Acesso em linha:https://hdl.handle.net/20.500.14352/49709
Access Level:Acceso aberto
Palavra-chave:517.9
Asymptotic behavior
Attractors
Upper semicontinuity
Concentrated integrals
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
Descrição
Resumo:We analyze the asymptotic behavior of the attractors of a parabolic problem when some reaction and potential terms are concentrated in a neighborhood of a portion Gamma of the boundary and this neighborhood shrinks to Gamma as a parameter epsilon goes to zero. We prove that this family of attractors is upper continuous at epsilon = 0.