Global attractor of the extended Fisher-Kolmogorov equation in <it>H<sup>k </sup></it>spaces

Global attractor of the extended Fisher-Kolmogorov equation in <it>H<sup>k </sup></it>spaces

<p>Abstract</p> <p>The long-time behavior of solution to extended Fisher-Kolmogorov equation is considered in this article. Using an iteration procedure, regularity estimates for the linear semigroups and a classical existence theorem of global attractor, we prove that the extended...

Full description

Bibliographic Details
Main Author: Luo Hong
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Boundary Value Problems
Subjects:
semigroup of operator
global attractor
extended Fisher-Kolmogorov equation
regularity
Online Access:http://www.boundaryvalueproblems.com/content/2011/1/39
id doaj-b3d7d260c53b41ab83b611e5b5916fa2
record_format Article
spelling doaj-b3d7d260c53b41ab83b611e5b5916fa22020-11-24T23:58:14ZengSpringerOpenBoundary Value Problems1687-27621687-27702011-01-012011139Global attractor of the extended Fisher-Kolmogorov equation in <it>H<sup>k </sup></it>spacesLuo Hong<p>Abstract</p> <p>The long-time behavior of solution to extended Fisher-Kolmogorov equation is considered in this article. Using an iteration procedure, regularity estimates for the linear semigroups and a classical existence theorem of global attractor, we prove that the extended Fisher-Kolmogorov equation possesses a global attractor in Sobolev space <it>H<sup>k </sup></it>for all <it>k </it>&gt; 0, which attracts any bounded subset of <it>H<sup>k</sup> </it>(&#937;) in the <it>H<sup>k</sup> </it>-norm.</p> <p><b>2000 Mathematics Subject Classification: </b>35B40; 35B41; 35K25; 35K30.</p> http://www.boundaryvalueproblems.com/content/2011/1/39semigroup of operatorglobal attractorextended Fisher-Kolmogorov equationregularity
collection DOAJ
language English
format Article
sources DOAJ
author Luo Hong
spellingShingle Luo Hong
Global attractor of the extended Fisher-Kolmogorov equation in <it>H<sup>k </sup></it>spaces
Boundary Value Problems
semigroup of operator
global attractor
extended Fisher-Kolmogorov equation
regularity
author_facet Luo Hong
author_sort Luo Hong
title Global attractor of the extended Fisher-Kolmogorov equation in <it>H<sup>k </sup></it>spaces
title_short Global attractor of the extended Fisher-Kolmogorov equation in <it>H<sup>k </sup></it>spaces
title_full Global attractor of the extended Fisher-Kolmogorov equation in <it>H<sup>k </sup></it>spaces
title_fullStr Global attractor of the extended Fisher-Kolmogorov equation in <it>H<sup>k </sup></it>spaces
title_full_unstemmed Global attractor of the extended Fisher-Kolmogorov equation in <it>H<sup>k </sup></it>spaces
title_sort global attractor of the extended fisher-kolmogorov equation in <it>h<sup>k </sup></it>spaces
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2762
1687-2770
publishDate 2011-01-01
description <p>Abstract</p> <p>The long-time behavior of solution to extended Fisher-Kolmogorov equation is considered in this article. Using an iteration procedure, regularity estimates for the linear semigroups and a classical existence theorem of global attractor, we prove that the extended Fisher-Kolmogorov equation possesses a global attractor in Sobolev space <it>H<sup>k </sup></it>for all <it>k </it>&gt; 0, which attracts any bounded subset of <it>H<sup>k</sup> </it>(&#937;) in the <it>H<sup>k</sup> </it>-norm.</p> <p><b>2000 Mathematics Subject Classification: </b>35B40; 35B41; 35K25; 35K30.</p>
topic semigroup of operator
global attractor
extended Fisher-Kolmogorov equation
regularity
url http://www.boundaryvalueproblems.com/content/2011/1/39
work_keys_str_mv AT luohong globalattractoroftheextendedfisherkolmogorovequationinithsupksupitspaces
_version_ 1725450958010318848

Similar Items