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Upper semicontinuity of global attractors for quasilinear parabolic equations on unbounded thin domains

Full text
Author(s):
Silva, Ricardo P.
Total Authors: 1
Document type: Journal article
Source: SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 9, n. 2, p. 12-pg., 2015-12-01.
Abstract

We consider the asymptotic behavior of quasilinear parabolic equations posed in a family of unbounded domains that degenerates onto a lower dimensional set. Considering an auxiliary family of weighted Sobolev spaces we show the existence of global attractors and we analyze convergence properties of the solutions as well of the attractors. (AU)

FAPESP's process: 12/06753-8 - Continuity of global attractors: Correctors and convergence rates
Grantee:Ricardo Parreira da Silva
Support Opportunities: Regular Research Grants
FAPESP's process: 14/16165-1 - Asymptotic properties of semilinear problems: singular perturbations and applications
Grantee:Ricardo Parreira da Silva
Support Opportunities: Regular Research Grants