Article Dans Une Revue Comptes Rendus. Mathématique Année : 2007

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

Résumé

In this Note, we present several results concerning the vector potentials and the scalar potentials in a bounded, not necessarily simply-connected, three-dimensional domain. We consider also singular potentials corresponding to data in negative order Sobolev spaces. We also give some applications to Poincaré's theorem and to Korn's inequality.

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hal-00297289 , version 1 (15-07-2008)

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Chérif Amrouche, Philippe Ciarlet, Patrick Ciarlet. Vector and scalar potentials, Poincaré's theorem and Korn's inequality. Comptes Rendus. Mathématique, 2007, 345 (11), pp.603-608. ⟨10.1016/j.crma.2007.10.020⟩. ⟨hal-00297289⟩
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