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

Comptes Rendus Mathematique

Volumn 345, Issue 11, 2007, Pages 603-608

  Amrouche, Chérif ^a   Ciarlet, Philippe G ^b   Ciarlet Jr , Patrick ^c  

^a UNIVERSITÉ DE PAU ET DES PAYS DE L'ADOUR   (France)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^c CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 36549040574     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2007.10.020     Document Type: Article

References (7)

1. Amrouche C., Bernardi C., Dauge M., and Girault V. Vector potentials in three dimensional nonsmooth domains. Math. Methods Appl. Sci. 21 (1998) 823-864
2. Amrouche C., Ciarlet P.G., Gratie L., and Kesavan S. On the characterization of matrix fields as linearized strain tensor fields. J. Math. Pures Appl. 86 (2006) 116-132
3. Amrouche C., and Girault V. Problèmes généralisés de Stokes. Portugal. Math. 49 (1992) 464-503
4. Amrouche C., and Girault V. Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension. Czech. Math. J. 44 (1994) 109-140
5. C. Bernardi, V. Girault, Espaces duaux des domaines des opérateurs divergence et rotationnel avec trace nulle, Publications du Laboratoire Jacques-Louis Lions R 03017, 2003
6. Ciarlet P.G., and Ciarlet Jr. P. Another approach to linearized elasticity and a new proof of Korn's inequality. Math. Models Methods Appl. Sci. 15 (2005) 259-271
7. Fernandes P., and Gilardi G. Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions. Math. Models Methods Appl. Sci. 7 (1997) 957-991