Comptes Rendus
On completeness of root functions of elliptic boundary problems in a domain with conical points on the boundary
Comptes Rendus. Mathématique, Volume 334 (2002) no. 8, pp. 649-654.

We prove the completeness of the system of eigen and associated functions (i.e., root functions) of an elliptic boundary value problem in a domain, whose boundary is a smooth surface everywhere, except at a finite number of points, such that each point possesses a neighborhood, where the boundary is a conical surface.

On montre que les fonctions propres et associées d'un problème au bord pour un opérateur elliptique d'ordre 2m, défini dans un domaine dans n avec points coniques sur le bord, forment un système total.

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DOI: 10.1016/S1631-073X(02)02320-8

Youri V. Egorov 1; Vladimir A. Kondratiev 2; Bert-Wolfgang Schulze 3

1 Laboratoire des mathématiques pour l'industrie et la physique, UMR 5640, Université Paul Sabatier, UFR MIG, 118, route de Narbonne, 31062, Toulouse cedex 4, France
2 Mehmat Faculty, Lomonosov University, Vorob'evy Gory, 119899 Moscow, Russia
3 Institute of Mathematics, Potsdam University, 601553 Potsdam, Germany
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Youri V. Egorov; Vladimir A. Kondratiev; Bert-Wolfgang Schulze. On completeness of root functions of elliptic boundary problems in a domain with conical points on the boundary. Comptes Rendus. Mathématique, Volume 334 (2002) no. 8, pp. 649-654. doi : 10.1016/S1631-073X(02)02320-8. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02320-8/

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