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Singular limit for a nonlinear parabolic equation with terms concentrating on the boundary |
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| Authors: | Ángela Jiménez-Casas |
| Institution: | a Grupo de Dinámica No Lineal, U. Pontificia Comillas de Madrid, C/Alberto Aguilera 23, 28015 Madrid, Spain b Departamento de Matemática Aplicada, U. Complutense de Madrid, 28040 Madrid, Spain c Instituto de Ciencias Matemáticas, CSIC-UAM-UC3M-UCM, Spain |
| Abstract: | 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 Γ of the boundary and this neighborhood shrinks to Γ as a parameter ε goes to zero. We prove that the family of attractors is upper continuous at the ε=0. |
| Keywords: | Asymptotic behavior Attractor Singular perturbation Concentrating integrals Upper semicontinuity |
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