| HAL: hal-00140898, version 1 |
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| Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 134, 1 (2004) 39-54 |
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| Very singular solutions to a nonlinear parabolic equation with absorptionII- Uniqueness |
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| Said Benachour 1Herbert Koch 2 |
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| (2004) |
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| 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. |
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| 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 | |
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| Subject | : | Mathematics/Analysis of PDEs |
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| Very singular solutions – Hamilton-Jacobi equations – Uniqueness |
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| Attached file list to this document: | |||||
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| hal-00140898, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00140898 | |
| oai:hal.archives-ouvertes.fr:hal-00140898 | |
| From: Said Benachour | |
| Submitted on: Tuesday, 10 April 2007 16:13:32 | |
| Updated on: Wednesday, 11 April 2007 08:55:07 | |