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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.
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https://hal.archives-ouvertes.fr/hal-00297289
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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

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  • HAL Id : hal-00297289, version 1

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

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