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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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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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 |
id | doaj-art-2f35376ff8c642aa84613e9510c31163 |
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 |