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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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Dates and versions

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

Identifiers

  • 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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