Vector and scalar potentials, Poincaré's theorem and Korn's inequality

Chérif Amrouche; Philippe G. Ciarlet; Patrick Ciarlet

doi:10.1016/j.crma.2007.10.020

Vector and scalar potentials, Poincaré's theorem and Korn's inequality

Chérif Amrouche
, Philippe G. Ciarlet
, Patrick Ciarlet

Laboratoire de mathématiques appliquées
Université de Pau et des Pays de l’Adour
Department of Mathematics
City University of Hong Kong

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

9 Citations (Scopus)

Résumé

In this Note, we present several results concerning vector potentials and scalar potentials in a bounded, not necessarily simply-connected, three-dimensional domain. In particular, we consider singular potentials corresponding to data in negative order Sobolev spaces. We also give some applications to Poincaré's theorem and to Korn's inequality. To cite this article: C. Amrouche et al., C. R. Acad. Sci. Paris, Ser. I 345 (2007).

langue originale	Anglais
Pages (de - à)	603-608
Nombre de pages	6
journal	Comptes Rendus Mathematique
Volume	345
Numéro de publication	11
Les DOIs	https://doi.org/10.1016/j.crma.2007.10.020
état	Publié - 1 déc. 2007

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10.1016/j.crma.2007.10.020

Contient cette citation

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title = "Vector and scalar potentials, Poincar{\'e}'s theorem and Korn's inequality",

abstract = "In this Note, we present several results concerning vector potentials and scalar potentials in a bounded, not necessarily simply-connected, three-dimensional domain. In particular, we consider singular potentials corresponding to data in negative order Sobolev spaces. We also give some applications to Poincar{\'e}'s theorem and to Korn's inequality. To cite this article: C. Amrouche et al., C. R. Acad. Sci. Paris, Ser. I 345 (2007).",

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T1 - Vector and scalar potentials, Poincaré's theorem and Korn's inequality

AU - Amrouche, Chérif

AU - Ciarlet, Philippe G.

AU - Ciarlet, Patrick

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Y1 - 2007/12/1

N2 - In this Note, we present several results concerning vector potentials and scalar potentials in a bounded, not necessarily simply-connected, three-dimensional domain. In particular, we consider singular potentials corresponding to data in negative order Sobolev spaces. We also give some applications to Poincaré's theorem and to Korn's inequality. To cite this article: C. Amrouche et al., C. R. Acad. Sci. Paris, Ser. I 345 (2007).

AB - In this Note, we present several results concerning vector potentials and scalar potentials in a bounded, not necessarily simply-connected, three-dimensional domain. In particular, we consider singular potentials corresponding to data in negative order Sobolev spaces. We also give some applications to Poincaré's theorem and to Korn's inequality. To cite this article: C. Amrouche et al., C. R. Acad. Sci. Paris, Ser. I 345 (2007).

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DO - 10.1016/j.crma.2007.10.020

M3 - Article

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SN - 1631-073X

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JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 11

ER -

Vector and scalar potentials, Poincaré's theorem and Korn's inequality

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