Blow-Up and Global Existence for a Quasilinear Parabolic System

The problem of solutions to a class of quasilinear coupling parabolic system was studied. By constructing weak upper-solutions and weak lower-solutions, we obtain the global existence and blow-up of solutions under appropriate conditions.

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Main Author: Chunchen Wu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2014/821503
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author Chunchen Wu
author_facet Chunchen Wu
author_sort Chunchen Wu
collection DOAJ
description The problem of solutions to a class of quasilinear coupling parabolic system was studied. By constructing weak upper-solutions and weak lower-solutions, we obtain the global existence and blow-up of solutions under appropriate conditions.
format Article
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institution Kabale University
issn 1026-0226
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language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-1e3d61db761c4b389b3d536c75fdc0402025-02-03T01:32:12ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/821503821503Blow-Up and Global Existence for a Quasilinear Parabolic SystemChunchen Wu0Zhicheng College, Fuzhou University, Fuzhou, Fujian 350002, ChinaThe problem of solutions to a class of quasilinear coupling parabolic system was studied. By constructing weak upper-solutions and weak lower-solutions, we obtain the global existence and blow-up of solutions under appropriate conditions.http://dx.doi.org/10.1155/2014/821503
spellingShingle Chunchen Wu
Blow-Up and Global Existence for a Quasilinear Parabolic System
Discrete Dynamics in Nature and Society
title Blow-Up and Global Existence for a Quasilinear Parabolic System
title_full Blow-Up and Global Existence for a Quasilinear Parabolic System
title_fullStr Blow-Up and Global Existence for a Quasilinear Parabolic System
title_full_unstemmed Blow-Up and Global Existence for a Quasilinear Parabolic System
title_short Blow-Up and Global Existence for a Quasilinear Parabolic System
title_sort blow up and global existence for a quasilinear parabolic system
url http://dx.doi.org/10.1155/2014/821503
work_keys_str_mv AT chunchenwu blowupandglobalexistenceforaquasilinearparabolicsystem