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
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.
|Uncontrolled Keywords:||Asymptotic behavior; Attractors; Upper semicontinuity; Concentrated integrals|
|Subjects:||Sciences > Mathematics > Differential equations|
|Deposited On:||11 Jul 2011 09:47|
|Last Modified:||11 Jul 2011 09:47|
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