Translator Disclaimer
2008 Nonconstant selfsimilar blow-up profile for the exponential reaction-diffusion equation
Marek Fila, Aappo Pulkkinen
Tohoku Math. J. (2) 60(3): 303-328 (2008). DOI: 10.2748/tmj/1223057730

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.

Citation

Download Citation

Marek Fila. Aappo Pulkkinen. "Nonconstant selfsimilar blow-up profile for the exponential reaction-diffusion equation." Tohoku Math. J. (2) 60 (3) 303 - 328, 2008. https://doi.org/10.2748/tmj/1223057730

Information

Published: 2008
First available in Project Euclid: 3 October 2008

zbMATH: 1158.35056
MathSciNet: MR2453725
Digital Object Identifier: 10.2748/tmj/1223057730

Subjects:
Primary: 35K57
Secondary: 35B40

Rights: Copyright © 2008 Tohoku University

JOURNAL ARTICLE
26 PAGES


SHARE
Vol.60 • No. 3 • 2008
Back to Top