Asymptotic Behavior of a Class of Degenerate Parabolic Equations

Asymptotic Behavior of a Class of Degenerate Parabolic Equations

We investigate the asymptotic behavior of solutions of a class of degenerate parabolic equations in a bounded domain () with a polynomial growth nonlinearity of arbitrary order. The existence of global attractors is proved in , , and , respectively, when can be just compactly embedded into () but...

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Main Authors: Hongtao Li, Shan Ma
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/673605
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spelling doaj-7fc78b3413ae477e99475ab9e791c56c2020-11-24T23:38:47ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/673605673605Asymptotic Behavior of a Class of Degenerate Parabolic EquationsHongtao Li0Shan Ma1School of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou 730070, ChinaSchool of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, ChinaWe investigate the asymptotic behavior of solutions of a class of degenerate parabolic equations in a bounded domain () with a polynomial growth nonlinearity of arbitrary order. The existence of global attractors is proved in , , and , respectively, when can be just compactly embedded into () but not .http://dx.doi.org/10.1155/2012/673605
collection DOAJ
language English
format Article
sources DOAJ
author Hongtao Li
Shan Ma
spellingShingle Hongtao Li
Shan Ma
Asymptotic Behavior of a Class of Degenerate Parabolic Equations
Abstract and Applied Analysis
author_facet Hongtao Li
Shan Ma
author_sort Hongtao Li
title Asymptotic Behavior of a Class of Degenerate Parabolic Equations
title_short Asymptotic Behavior of a Class of Degenerate Parabolic Equations
title_full Asymptotic Behavior of a Class of Degenerate Parabolic Equations
title_fullStr Asymptotic Behavior of a Class of Degenerate Parabolic Equations
title_full_unstemmed Asymptotic Behavior of a Class of Degenerate Parabolic Equations
title_sort asymptotic behavior of a class of degenerate parabolic equations
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description We investigate the asymptotic behavior of solutions of a class of degenerate parabolic equations in a bounded domain () with a polynomial growth nonlinearity of arbitrary order. The existence of global attractors is proved in , , and , respectively, when can be just compactly embedded into () but not .
url http://dx.doi.org/10.1155/2012/673605
work_keys_str_mv AT hongtaoli asymptoticbehaviorofaclassofdegenerateparabolicequations
AT shanma asymptoticbehaviorofaclassofdegenerateparabolicequations
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