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

Rodríguez Bernal, Aníbal and Jiménez Casas, Ángela (2009) Asymptotic behaviour of a parabolic problem with terms concentrated in the boundary. Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods, 71 (12). e2377-e2383. ISSN 0362-546X

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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 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.


Item Type:Article
Uncontrolled Keywords:Asymptotic behavior; Attractors; Upper semicontinuity; Concentrated integrals
Subjects:Sciences > Mathematics > Differential equations
ID Code:12932
Deposited On:11 Jul 2011 07:47
Last Modified:06 Feb 2014 09:36

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