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| HAL : hal-00319986, version 1 |
| Fiche détaillée |  Récupérer au format |
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| Advances in Differential Equations 3 (1998) 473-496 |
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| On the Cauchy problem for some systems occurring in nonlinear optics |
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| Brigitte Bidégaray 1, 2 |
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| (1998) |
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| We study the Cauchy problem for two systems of equations (Maxwell-Debye and Maxwell-Bloch) describing laser-matter interaction phenomena. We show that these problems are locally in time well-posed for initial data in different Sobolev spaces. In the case of Maxwell-Debye system, which contains some delay term, we study the limit of the solutions when this delay tends to 0. We also consider an adiabatic approximation of Maxwell-Bloch system. |
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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 [UPS] - Toulouse III – Institut National des Sciences Appliquées (INSA) - Toulouse |
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| 2 : | Centre de Mathématiques et de Leurs Applications (CMLA) |
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CNRS : UMR8536 – École normale supérieure de Cachan - ENS Cachan |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
| hal-00319986, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00319986 | |
| oai:hal.archives-ouvertes.fr:hal-00319986 | |
| Contributeur : Brigitte Bidégaray-Fesquet | |
| Soumis le : Mardi 9 Septembre 2008, 22:14:31 | |
| Dernière modification le : Mardi 9 Septembre 2008, 22:23:24 | |
