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| HAL : hal-00589387, version 1 |
| arXiv : 1104.5658 |
| Fiche détaillée |  Récupérer au format |
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| Large time behavior of weakly coupled systems of first-order Hamilton-Jacobi equations |
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| Fabio Camilli 1Olivier Ley 2 |
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| (04/2011) |
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| We show a large time behavior result for class of weakly coupled systems of first-order Hamilton-Jacobi equations in the periodic setting. We use a PDE approach to extend the convergence result proved by Namah and Roquejoffre (1999) in the scalar case. Our proof is based on new comparison, existence and regularity results for systems. An interpretation of the solution of the system in terms of an optimal control problem with switching is given. |
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| 1 : | Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate (MeMoMat) |
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Universita di Roma "La Sapienza" |
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| 2 : | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – INSA Rennes – Université Rennes II |
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| Analyse numérique |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| Hamilton-Jacobi equations – weakly coupled system – large time behavior – critical value. |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00589387, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00589387 | |
| oai:hal.archives-ouvertes.fr:hal-00589387 | |
| Contributeur : Olivier Ley | |
| Soumis le : Jeudi 28 Avril 2011, 17:53:18 | |
| Dernière modification le : Lundi 2 Mai 2011, 15:16:37 | |
