Remarks on semilinear parabolic systems with terms concentrating in the boundary

Autor(es)

Pereira, Marcone C.

• Tipo de documento: Artigo Científico
• Fonte: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS; v. 14, n. 4, p. 10-pg., 2013-08-01.

Resumo

We are concerned with the asymptotic behavior of a dynamical system generated by a family of semilinear parabolic systems with reaction and potential terms concentrating in a neighborhood of a portion of the boundary. Assuming that this neighborhood shrinks to this section as a parameter E goes to zero, we exhibit the limit problem and show continuity of the flux as well as upper and lower semicontinuity of the family of global attractors with respect to e using an appropriated functional setting on suitable conditions for the system. It is worth noting that oscillatory behavior to the neighborhood as e goes to zero is also allowed providing a large range of applications. (c) 2013 Elsevier Ltd. All rights reserved. (AU)

• Processo FAPESP: 10/18790-0 - Comportamento assintótico e geométrico de equações diferenciais parciais
• Beneficiário: Marcone Corrêa Pereira
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 08/53094-4 - Sistemas dinâmicos em espaços de dimensão infinita sob perturbações
• Beneficiário: Alexandre Nolasco de Carvalho
• Modalidade de apoio: Bolsas no Exterior - Pesquisa