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

Chérif Amrouche; Philippe G. Ciarlet; Patrick Ciarlet Jr.

doi:10.1016/j.crma.2007.10.020

Author(s)

Chérif Amrouche
Philippe G. Ciarlet
Patrick Ciarlet Jr.

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	603-608
Journal / Publication	Comptes Rendus Mathematique
Volume	345
Issue number	11
Publication status	Published - 1 Dec 2007

Link(s)

DOI	DOI https://doi.org/10.1016/j.crma.2007.10.020 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-36549040574&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(de9e55f1-9429-46dd-9ac9-5bcdb8c99804).html

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 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). © 2007 Académie des sciences.

Citation Format(s)

[ RIS ] [ BibTeX ]

Vector and scalar potentials, Poincaré's theorem and Korn's inequality. / Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet Jr., Patrick.
In: Comptes Rendus Mathematique, Vol. 345, No. 11, 01.12.2007, p. 603-608.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Amrouche, C, Ciarlet, PG & Ciarlet Jr., P 2007, 'Vector and scalar potentials, Poincaré's theorem and Korn's inequality', Comptes Rendus Mathematique, vol. 345, no. 11, pp. 603-608. https://doi.org/10.1016/j.crma.2007.10.020

Amrouche, C., Ciarlet, P. G., & Ciarlet Jr., P. (2007). Vector and scalar potentials, Poincaré's theorem and Korn's inequality. Comptes Rendus Mathematique, 345(11), 603-608. https://doi.org/10.1016/j.crma.2007.10.020

Amrouche C, Ciarlet PG, Ciarlet Jr. P. Vector and scalar potentials, Poincaré's theorem and Korn's inequality. Comptes Rendus Mathematique. 2007 Dec 1;345(11):603-608. doi: 10.1016/j.crma.2007.10.020

Amrouche, Chérif ; Ciarlet, Philippe G. ; Ciarlet Jr., Patrick. / Vector and scalar potentials, Poincaré's theorem and Korn's inequality. In: Comptes Rendus Mathematique. 2007 ; Vol. 345, No. 11. pp. 603-608.