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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Official URL: http://0-www.sciencedirect.com.cisne.sim.ucm.es/science/journal/0022247X
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 12:42 |
| Last Modified: | 23 Jan 2012 12:42 |
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