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On instant blow-up for semilinear heat equations with growing initial data

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84065

Title: On instant blow-up for semilinear heat equations with growing initial data
Authors: Giga, Yoshikazu Browse this author
Umeda, Noriaki Browse this author
Keywords: instant blow-up
local-in-time solution
semilinear heat equation
Issue Date: 2008
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 916
Start Page: 1
End Page: 13
Abstract: For a semilinear heat equation admitting blow-up solutions a sufficient condition for nonexistence of local-in-time solutions are obtained. In particular, it is shown that if an initial data tends to infinity at space infinity then there is no local-in-time solution. As an application if the solution blows up at space infinity with least blow-up time, the solution cannot be extendable after blow-up time.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69723
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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