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| HAL: hal-00176540, version 1 |
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| Control and Cybernetics 31, 3 (2002) 493-506 |
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| On vectorial Hamilton-Jacobi equations |
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| Cyril Imbert 1Michel Volle 2 |
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| (2002) |
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| We consider the generalized Hopf and Lax functions associated with a vector-valued hamiltonian and we prove that they still provide lower semicontinuous solutions for the corresponding vectorial Hamilton-Jacobi equation in a very general context. Uniqueness of these generalized solutions is also investigated. |
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| 1: | Mathématiques pour l'Industrie et la Physique (MIP) |
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CNRS : UMR5640 – Université des Sciences Sociales - Toulouse I – Université Paul Sabatier - Toulouse III – Institut National des Sciences Appliquées de Toulouse |
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| 2: | Laboratoire d'Analyse non linéaire et Géométrie (LANLG) |
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Université d'Avignon : EA2151 |
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| Subject | : | Mathematics/Analysis of PDEs |
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| Hamilton-Jacobi equations – vector-valued Hamiltonian – Hopf-Lax formulae |
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| hal-00176540, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00176540 | |
| oai:hal.archives-ouvertes.fr:hal-00176540 | |
| From: Cyril Imbert | |
| Submitted on: Wednesday, 3 October 2007 22:46:34 | |
| Updated on: Thursday, 4 October 2007 08:59:51 | |
