Maxwell singularities on polyhedral or polygonal domains;Singularitiés des équations de Maxwell dans un polyèdre

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 324, Issue 9, 1997, Pages 1005-1010

  Costabel, Martin ^a   Dauge, Monique ^a  

^a UNIVERSITÉ DE RENNES 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031138620     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0764-4442(97)87876-7     Document Type: Article

References (8)

1. [1] Assous F., Ciarlet P. et Sonnendrücker E., 1996. Résolution des équations de Maxwell dans un domaine avec un coin rentrant. C. R. Acad. Sc. Paris, Série I, 323, p. 203-208.
2. 2-theory of the Maxwell operator in arbitrary domains. Russ. Math. Surv. 42, p. 75-96.
3. [3] Birman M. et Solomyak M., 1993. On the main singularities of the electric component of the electro-magnetic field in regions with screens. St. Petersbg, Math. J., 1, p. 125-139.
4. [4] Costabel M., 1991. A coercive bilinear form for Maxwell's equations. J. Math. Anal. Appl., 157, 2, p. 527-541.
5. [5] Costabel M. et Dauge M., 1996. Singularities of Maxwell's equations on polyhedral domains. Preprint 96-30, Université de Rennes 1.
6. [6] Dauge M., 1988. Elliptic Boundary Value Problems in Corner Domains - Smoothness and Asymptotics of Solutions. Lecture Notes in Mathematics, Vol. 1341. Springer-Verlag, Berlin 1988.
7. [7] Kondrat'ev V. A., 1967. Boundary-value problems for elliptic equations in domains with conical or angular points. Trans. Moscow Math. Soc., 16, p. 227-313.
8. [8] Moussaoui M., 1996. Espaces H(div, rot, Ω) dans un polygone plan. C. R. Acad. Sc. Paris, Série I, 322, p. 225-229.