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

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. [PUBLICATION ABSTRACT]

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Veröffentlicht in:Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2004-02, Vol.134 (1), p.39-54
Hauptverfasser: Benachour, Saïd, Koch, Herbert, Laurençot, Philippe
Format: Artikel
Sprache:eng
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Zusammenfassung: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. [PUBLICATION ABSTRACT]
ISSN:0308-2105
1473-7124
DOI:10.1017/S0308210504000046