Upper semicontinuity of global attractors for quasilinear parabolic equations on unbounded thin domains
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Undergraduate course
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Springer
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Acesso aberto
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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.
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Keywords
Thin domains, p-Laplacian, Global attractors
Language
English
Citation
Sao Paulo Journal Of Mathematical Sciences. Cham: Springer International Publishing Ag, v. 9, n. 2, p. 251-262, 2015.
