| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Fed Sao Paulo, Inst Ciencias Ambientais Quim & Farmaceut, Diadema, SP - Brazil
[2] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Journal of Dynamics and Differential Equations; v. 26, n. 4, p. 871-888, DEC 2014. |
| Web of Science Citations: | 9 |
| Abstract | |
We analyze the dynamics of the flow generated by a nonlinear parabolic problem when some reaction and potential terms are concentrated in a neighborhood of the boundary. We assume that this neighborhood shrinks to the boundary as a parameter goes to zero. Also, we suppose that the ``inner boundary{''} of this neighborhood presents a highly oscillatory behavior. Our main goal here is to show the continuity of the family of attractors with respect to . Indeed, we prove upper semicontinuity under the usual properties of regularity and dissipativeness and, assuming hyperbolicity of the equilibria, we also show the lower semicontinuity of the attractors at epsilon = 0. (AU) | |
| FAPESP's process: | 10/18790-0 - Asymptotic behavior and geometric of partial differential equations |
| Grantee: | Marcone Corrêa Pereira |
| Support Opportunities: | Regular Research Grants |