Journal
MONATSHEFTE FUR MATHEMATIK
Volume 180, Issue 3, Pages 649-660Publisher
SPRINGER WIEN
DOI: 10.1007/s00605-016-0902-4
Keywords
Thin domains; p-Laplacian; Global attractors
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Funding
- FAPESP [2012/06753-8, 2014/16165-1]
- CNPq [440371/2014-7]
- FEMAT/DF, Brazil
- Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) [14/16165-1] Funding Source: FAPESP
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In this paper we are concerned with 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.
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