Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary Condition

Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary Condition

We investigate an initial-boundary value problem for a quasilinear parabolic equation with inner absorption and nonlinear Neumann boundary condition. We establish, respectively, the conditions on nonlinearity to guarantee that u(x,t) exists globally or blows up at some finite time t*. Moreover, an u...

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Main Authors: Zhong Bo Fang, Yan Chai
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/289245
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spelling doaj-f6fa9e14d2aa46468638522a5fa085732020-11-24T22:35:58ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/289245289245Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary ConditionZhong Bo Fang0Yan Chai1School of Mathematical Sciences, Ocean University of China, Qingdao 266100, ChinaSchool of Mathematical Sciences, Ocean University of China, Qingdao 266100, ChinaWe investigate an initial-boundary value problem for a quasilinear parabolic equation with inner absorption and nonlinear Neumann boundary condition. We establish, respectively, the conditions on nonlinearity to guarantee that u(x,t) exists globally or blows up at some finite time t*. Moreover, an upper bound for t* is derived. Under somewhat more restrictive conditions, a lower bound for t* is also obtained.http://dx.doi.org/10.1155/2014/289245
collection DOAJ
language English
format Article
sources DOAJ
author Zhong Bo Fang
Yan Chai
spellingShingle Zhong Bo Fang
Yan Chai
Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary Condition
Abstract and Applied Analysis
author_facet Zhong Bo Fang
Yan Chai
author_sort Zhong Bo Fang
title Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary Condition
title_short Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary Condition
title_full Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary Condition
title_fullStr Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary Condition
title_full_unstemmed Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary Condition
title_sort blow-up analysis for a quasilinear parabolic equation with inner absorption and nonlinear neumann boundary condition
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We investigate an initial-boundary value problem for a quasilinear parabolic equation with inner absorption and nonlinear Neumann boundary condition. We establish, respectively, the conditions on nonlinearity to guarantee that u(x,t) exists globally or blows up at some finite time t*. Moreover, an upper bound for t* is derived. Under somewhat more restrictive conditions, a lower bound for t* is also obtained.
url http://dx.doi.org/10.1155/2014/289245
work_keys_str_mv AT zhongbofang blowupanalysisforaquasilinearparabolicequationwithinnerabsorptionandnonlinearneumannboundarycondition
AT yanchai blowupanalysisforaquasilinearparabolicequationwithinnerabsorptionandnonlinearneumannboundarycondition
_version_ 1725721876152451072

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