Time-Dependent Global Attractor for a Class of Nonclassical Parabolic Equations

Time-Dependent Global Attractor for a Class of Nonclassical Parabolic Equations

Based on the recent theory of time-dependent global attractors in the works of Conti et al. (2013) and di Plinio et al. (2011), we prove the existence of time-dependent global attractors as well as the regularity of the time-dependent global attractor for a class of nonclassical parabolic equations...

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Main Author: Fang-hong Zhang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/748321
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spelling doaj-f109f667eb924003b4b9b4041b49ae762020-11-24T21:29:57ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/748321748321Time-Dependent Global Attractor for a Class of Nonclassical Parabolic EquationsFang-hong Zhang0Department of Mathematics, Longqiao College of Lanzhou Commercial College, Lanzhou, Gansu 730101, ChinaBased on the recent theory of time-dependent global attractors in the works of Conti et al. (2013) and di Plinio et al. (2011), we prove the existence of time-dependent global attractors as well as the regularity of the time-dependent global attractor for a class of nonclassical parabolic equations.http://dx.doi.org/10.1155/2014/748321
collection DOAJ
language English
format Article
sources DOAJ
author Fang-hong Zhang
spellingShingle Fang-hong Zhang
Time-Dependent Global Attractor for a Class of Nonclassical Parabolic Equations
Journal of Applied Mathematics
author_facet Fang-hong Zhang
author_sort Fang-hong Zhang
title Time-Dependent Global Attractor for a Class of Nonclassical Parabolic Equations
title_short Time-Dependent Global Attractor for a Class of Nonclassical Parabolic Equations
title_full Time-Dependent Global Attractor for a Class of Nonclassical Parabolic Equations
title_fullStr Time-Dependent Global Attractor for a Class of Nonclassical Parabolic Equations
title_full_unstemmed Time-Dependent Global Attractor for a Class of Nonclassical Parabolic Equations
title_sort time-dependent global attractor for a class of nonclassical parabolic equations
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2014-01-01
description Based on the recent theory of time-dependent global attractors in the works of Conti et al. (2013) and di Plinio et al. (2011), we prove the existence of time-dependent global attractors as well as the regularity of the time-dependent global attractor for a class of nonclassical parabolic equations.
url http://dx.doi.org/10.1155/2014/748321
work_keys_str_mv AT fanghongzhang timedependentglobalattractorforaclassofnonclassicalparabolicequations
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