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| HAL : hal-00298362, version 1 |
| Fiche détaillée |  Récupérer au format |
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| Advances in Mathematics 223, 5 (2010) 1555-1607 |
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| Compensated Compactness for Differential Forms in Carnot Groups and Applications |
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| Annalisa Baldi 1Bruno Franchi 1 |
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| (2010) |
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| In this paper we prove a compensated compactness theorem for differential forms of the intrinsic complex of a Carnot group. The proof relies on a $L^s$--Hodge decomposition for these forms. Because of the lack of homogeneity of the intrinsic exterior differential, Hodge decomposition is proved using the parametrix of a suitable 0-order Laplacian on forms. |
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| 1 : | Dipartimento di Matematica Universita di Bologna |
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Università di Bologna |
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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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| Equations aux dérivées partielles |
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| Domaine | : | Mathématiques/Analyse fonctionnelle |
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| Compensated compactness – Carnot groups – differential forms – currents – pseudodifferential operators on homogeneous groups |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00298362, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00298362 | |
| oai:hal.archives-ouvertes.fr:hal-00298362 | |
| Contributeur : Marie-Annick Guillemer | |
| Soumis le : Mercredi 16 Juillet 2008, 15:41:34 | |
| Dernière modification le : Lundi 27 Septembre 2010, 15:16:07 | |
