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| HAL : hal-00339526, version 1 |
| Fiche détaillée |  Récupérer au format |
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| The hyperbolic region for hyperbolic boundary value problems |
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| Jean-Francois Coulombel 1, 2 |
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| (06/10/2008) |
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| The well-posedness of hyperbolic initial boundary value problems is linked to the occurrence of zeros of the so-called Lopatinskii determinant. For an important class of problems, the Lopatinskii determinant vanishes in the hyperbolic region of the frequency domain and nowhere else. In this paper, we give a criterion that ensures that the hyperbolic region coincides with the projection of the forward cone. We give some examples of strictly hyperbolic operators that show that our criterion is sharp. |
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| 1 : | Laboratoire Paul Painlevé (LPP) |
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CNRS : UMR8524 – Université des Sciences et Technologies de Lille - Lille I |
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| 2 : | SIMPAF (INRIA Lille - Nord Europe) |
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INRIA – Université des Sciences et Technologies de Lille - Lille I – CNRS : UMR |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| Hyperbolic systems – boundary value problems – hyperbolic region. |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00339526, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00339526 | |
| oai:hal.archives-ouvertes.fr:hal-00339526 | |
| Contributeur : Jean-Francois Coulombel | |
| Soumis le : Mardi 18 Novembre 2008, 10:38:58 | |
| Dernière modification le : Mercredi 19 Novembre 2008, 09:56:53 | |
