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Very singular solutions to a nonlinear parabolic equation with absorptionII- Uniqueness
Benachour S., Koch H., Laurençot P.
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 134, 1 (2004) 39-54 - http://hal.archives-ouvertes.fr/hal-00140898
Publication type: Article in peer-reviewed journal
Subject: Mathematics/Analysis of PDEs
Title: Very singular solutions to a nonlinear parabolic equation with absorptionII- Uniqueness
Author(s): Said Benachour () 1, Herbert Koch 2, Philippe Laurençot 3
Laboratory:
1:  Institut Elie Cartan Nancy (IECN)
http://www.iecn.u-nancy.fr/
CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
France
2:  Fachbereich Mathematik
Universitat Dortmund
Vogelpothsweg 87, D-44221 Dortmund Germany
Germany
3:  Mathématiques pour l'Industrie et la Physique (MIP)
http://mip.ups-tlse.fr/
CNRS : UMR5640 – Université des Sciences Sociales - Toulouse I – Université Paul Sabatier [UPS] - Toulouse III – Institut National des Sciences Appliquées (INSA) - Toulouse
France
Abstract: We prove the uniqueness of the very singular solution to a Hamilton-Jacobi equation with absorption. We mention thatthe very singular solutions play an important role in the description of the large time behavior of the solutions.
Fulltext language: English
Journal: Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
Audience: international
Publication date: 2004
Volume: 134
Issue: 1
Page, identifiant, ...: 39-54
Keyword(s): Very singular solutions – Hamilton-Jacobi equations – Uniqueness
Classification: MSC: 35K55, 35A05, 35K15
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From: Said Benachour <>
Submitted on: Tuesday, 10 April 2007 16:13:32
Updated on: Wednesday, 11 April 2007 08:55:07