Asymptotic behavior of a class of degenerate parabolic equations
type: Item
instance of: scholarly article
title: Asymptotic behavior of a class of degenerate parabolic equations
zbMATH Open document ID: 1259.35036
DOI: 10.1155/2012/673605
author: Shan Ma
author: Hongtao Li
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: We investigate the asymptotic behavior of solutions of a class of degenerate parabolic equations in a bounded domain \(\Omega \subset \mathbb R^n (n \geqslant 2)\) with a polynomial growth nonlinearity of arbitrary order. The existence of global attractors is proved in \(L^2(\Omega), L^p(\Omega)\), and \(H^{1,a}_0(\Omega)\), respectively, when \(H^{1,a}_0(\Omega)\) can be just compactly embedded into \(L^r(\Omega)(r < 2)\) but not \(L^2(\Omega)\).
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35K35
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B41
zbMATH DE Number: 6134143
zbMATH Keywords: polynomial growth nonlinearity
MaRDI profile type: Publication
Wikidata QID: Q58695837
full work available at URL: https://doi.org/10.1155/2012/673605
OpenAlex ID: W2033973306
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description: scientific article; zbMATH DE number 6134143