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| HAL : hal-00422523, version 2 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (07-10-2009) | v2 (08-01-2010) | v3 (14-02-2011) |
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| Periodic solutions of non-linear Schrödinger equations: A para-differential approach |
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| Jean-Marc Delort 1 |
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| (07/10/2009) |
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| This paper is devoted to the construction of periodic solutions of non-linear Schrödinger equations on the torus, for a large set of frequencies. Usual proofs of such results rely on the use of Nash-Moser methods. Our approach avoids this, exploiting the possibility of reducing, through para-differential conjugation, the equation under study to an equivalent form for which periodic solutions may be constructed by a classical iteration scheme. |
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| 1 : | Laboratoire Analyse, Géométrie et Application (LAGA) |
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CNRS : UMR7539 – Université Paris XIII - Paris Nord – Université Paris VIII - Vincennes Saint-Denis |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| Non-linear Schrödinger equations – Periodic solutions |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00422523, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00422523 | |
| oai:hal.archives-ouvertes.fr:hal-00422523 | |
| Contributeur : Jean-Marc Delort | |
| Soumis le : Jeudi 7 Janvier 2010, 18:30:11 | |
| Dernière modification le : Vendredi 8 Janvier 2010, 08:38:59 | |
