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Singular limit for a nonlinear parabolic equation with terms concentrating on the boundary

Rodríguez Bernal, Aníbal and Jiménez Casas, Ángela (2011) Singular limit for a nonlinear parabolic equation with terms concentrating on the boundary. Journal of Mathematical Analysis and Applications, 379 (2). pp. 567-588. ISSN 0022-247X

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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.


Item Type:Article
Uncontrolled Keywords:Asymptotic behavior; Attractor; Singular perturbation; Concentrating integrals; Upper semicontinuity
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:14449
Deposited On:23 Jan 2012 11:42
Last Modified:23 Jan 2012 11:42

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