TY - JOUR
T1 - Vector and scalar potentials, Poincaré's theorem and Korn's inequality
AU - Amrouche, Chérif
AU - Ciarlet, Philippe G.
AU - Ciarlet, Patrick
PY - 2007/12/1
Y1 - 2007/12/1
N2 - 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).
AB - 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).
U2 - 10.1016/j.crma.2007.10.020
DO - 10.1016/j.crma.2007.10.020
M3 - Article
AN - SCOPUS:36549040574
SN - 1631-073X
VL - 345
SP - 603
EP - 608
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 11
ER -