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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Official URL: http://0-www.sciencedirect.com.cisne.sim.ucm.es/science/journal/0362546X
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 09:47 |
| Last Modified: | 11 Jul 2011 09:47 |
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