Blow-Up Time for Nonlinear Heat Equations with Transcendental Nonlinearity

A blow-up time for nonlinear heat equations with transcendental nonlinearity is investigated. An upper bound of the first blow-up time is presented. It is pointed out that the upper bound of the first blow-up time depends on the support of the initial datum.

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Bibliographic Details
Main Author: Hee Chul Pak
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/202137
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author Hee Chul Pak
author_facet Hee Chul Pak
author_sort Hee Chul Pak
collection DOAJ
description A blow-up time for nonlinear heat equations with transcendental nonlinearity is investigated. An upper bound of the first blow-up time is presented. It is pointed out that the upper bound of the first blow-up time depends on the support of the initial datum.
format Article
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institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-2f35376ff8c642aa84613e9510c311632025-02-03T05:46:23ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/202137202137Blow-Up Time for Nonlinear Heat Equations with Transcendental NonlinearityHee Chul Pak0Department of Applied Mathematics, Dankook University, Anseo-Dong 29, Cheonan, Chungnam 330-714, Republic of Korea A blow-up time for nonlinear heat equations with transcendental nonlinearity is investigated. An upper bound of the first blow-up time is presented. It is pointed out that the upper bound of the first blow-up time depends on the support of the initial datum.http://dx.doi.org/10.1155/2012/202137
spellingShingle Hee Chul Pak
Blow-Up Time for Nonlinear Heat Equations with Transcendental Nonlinearity
Journal of Applied Mathematics
title Blow-Up Time for Nonlinear Heat Equations with Transcendental Nonlinearity
title_full Blow-Up Time for Nonlinear Heat Equations with Transcendental Nonlinearity
title_fullStr Blow-Up Time for Nonlinear Heat Equations with Transcendental Nonlinearity
title_full_unstemmed Blow-Up Time for Nonlinear Heat Equations with Transcendental Nonlinearity
title_short Blow-Up Time for Nonlinear Heat Equations with Transcendental Nonlinearity
title_sort blow up time for nonlinear heat equations with transcendental nonlinearity
url http://dx.doi.org/10.1155/2012/202137
work_keys_str_mv AT heechulpak blowuptimefornonlinearheatequationswithtranscendentalnonlinearity