Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
NONCONSTANT SELFSIMILAR BLOW-UP PROFILE FOR THE EXPONENTIAL REACTION-DIFFUSION EQUATION
MAREK FILA, AAPPO PULKKINEN
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Keywords: Semilinear parabolic equation, blow-up profile, selfsimilar solutions
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2008 Volume 60 Issue 3 Pages 303-328

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Abstract
We study the blow-up profile of radial solutions of a semilinear heat equation with an exponential source term. Our main aim is to show that solutions which can be continued beyond blow-up possess a nonconstant selfsimilar blow-up profile. For some particular solutions we determine this profile precisely.
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© 2008 by THE TOHOKU UNIVERSITY
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Tohoku Mathematical Journal, First Series

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