Publication: Singular limit for a nonlinear parabolic equation with terms concentrating on the boundary
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Publication Date
2011
Authors
Jiménez Casas, Ángela
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Publisher
Elsevier
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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.