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Very singular solutions to a nonlinear parabolic equation with absorption II. Uniqueness

Published online by Cambridge University Press:  12 July 2007

Saïd Benachour ,
Herbert Koch  and
Philippe Laurençot
Saïd Benachour
Affiliation:
Institut Elie Cartan–Nancy, Université de Nancy 1, BP 239, F-54506 Vandœuvre-lès-Nancy cedex, France(benachou@iecn.u-nancy.fr)
Herbert Koch
Affiliation:
Fachbereich Mathematik, Universität Dortmund, D-44221 Dortmund, Germany(koch@mathematik.uni-dortmund.de)
Philippe Laurençot
Affiliation:
Mathématiques pour l'Industrie et la Physique, CNRS UMR 5640, Universitè Paul Sabatier–Toulouse 3, 118 route de Narbonne, F-31062 Toulouse cedex 4, France(laurenco@mip.ups-tlse.fr)
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Abstract

We prove the uniqueness of the very singular solution to when 1 < p < (N + 2)/(N + 1), thus completing the previous result by Qi and Wang, restricted to self-similar solutions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 1 , February 2004 , pp. 39 - 54
Copyright
Copyright © Royal Society of Edinburgh 2004

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