Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

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

Abstract : 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.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [7 references]  Display  Hide  Download
Contributor : Responsable Hal Lma-Pau Connect in order to contact the contributor
Submitted on : Tuesday, July 15, 2008 - 5:02:11 PM
Last modification on : Saturday, December 4, 2021 - 3:56:22 AM
Long-term archiving on: : Friday, May 28, 2010 - 10:29:54 PM


Files produced by the author(s)


  • HAL Id : hal-00297289, version 1


Chérif Amrouche, Philippe G. Ciarlet, Patrick Ciarlet. Vector and scalar potentials, Poincaré's theorem and Korn's inequality. 2008. ⟨hal-00297289⟩



Les métriques sont temporairement indisponibles