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Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 134, 1 (2004) 39-54
Very singular solutions to a nonlinear parabolic equation with absorptionII- Uniqueness
Said Benachour 1, Herbert Koch 2, Philippe Laurençot 3
(2004)

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.
1:  Institut Elie Cartan Nancy (IECN)
CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
2:  Fachbereich Mathematik
Universitat Dortmund
3:  Mathématiques pour l'Industrie et la Physique (MIP)
CNRS : UMR5640 – Université des Sciences Sociales - Toulouse I – Université Paul Sabatier [UPS] - Toulouse III – Institut National des Sciences Appliquées (INSA) - Toulouse
Mathematics/Analysis of PDEs
Very singular solutions – Hamilton-Jacobi equations – Uniqueness
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