Global Attractors in H1(ℝN) for Nonclassical Diffusion Equations

We study the existence of global attractors for nonclassical diffusion equations in H1(ℝN). The nonlinearity satisfies the arbitrary order polynomial growth conditions.

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Main Authors: Qiao-zhen Ma, Yong-feng Liu, Fang-hong Zhang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2012/672762
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author Qiao-zhen Ma
Yong-feng Liu
Fang-hong Zhang
author_facet Qiao-zhen Ma
Yong-feng Liu
Fang-hong Zhang
author_sort Qiao-zhen Ma
collection DOAJ
description We study the existence of global attractors for nonclassical diffusion equations in H1(ℝN). The nonlinearity satisfies the arbitrary order polynomial growth conditions.
format Article
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institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-cb89acb3db2c4f4ba052ffb142469bc42025-02-03T05:51:18ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/672762672762Global Attractors in H1(ℝN) for Nonclassical Diffusion EquationsQiao-zhen Ma0Yong-feng Liu1Fang-hong Zhang2College of Mathematics and Information Science, Northwest Normal University, Gansu, Lanzhou 730070, ChinaCollege of Mathematics and Information Science, Northwest Normal University, Gansu, Lanzhou 730070, ChinaCollege of Mathematics and Information Science, Northwest Normal University, Gansu, Lanzhou 730070, ChinaWe study the existence of global attractors for nonclassical diffusion equations in H1(ℝN). The nonlinearity satisfies the arbitrary order polynomial growth conditions.http://dx.doi.org/10.1155/2012/672762
spellingShingle Qiao-zhen Ma
Yong-feng Liu
Fang-hong Zhang
Global Attractors in H1(ℝN) for Nonclassical Diffusion Equations
Discrete Dynamics in Nature and Society
title Global Attractors in H1(ℝN) for Nonclassical Diffusion Equations
title_full Global Attractors in H1(ℝN) for Nonclassical Diffusion Equations
title_fullStr Global Attractors in H1(ℝN) for Nonclassical Diffusion Equations
title_full_unstemmed Global Attractors in H1(ℝN) for Nonclassical Diffusion Equations
title_short Global Attractors in H1(ℝN) for Nonclassical Diffusion Equations
title_sort global attractors in h1 rn for nonclassical diffusion equations
url http://dx.doi.org/10.1155/2012/672762
work_keys_str_mv AT qiaozhenma globalattractorsinh1rnfornonclassicaldiffusionequations
AT yongfengliu globalattractorsinh1rnfornonclassicaldiffusionequations
AT fanghongzhang globalattractorsinh1rnfornonclassicaldiffusionequations