[Sur la complétude des fonctions propres et associées d'un problème au bord elliptique dans un domaine avec points coniques sur le bord]
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
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Youri V. Egorov 1 ; Vladimir A. Kondratiev 2 ; Bert-Wolfgang Schulze 3
@article{CRMATH_2002__334_8_649_0,
author = {Youri V. Egorov and Vladimir A. Kondratiev and Bert-Wolfgang Schulze},
title = {On completeness of root functions of elliptic boundary problems in a domain with conical points on the boundary},
journal = {Comptes Rendus. Math\'ematique},
pages = {649--654},
publisher = {Elsevier},
volume = {334},
number = {8},
year = {2002},
doi = {10.1016/S1631-073X(02)02320-8},
language = {en},
}
TY - JOUR AU - Youri V. Egorov AU - Vladimir A. Kondratiev AU - Bert-Wolfgang Schulze TI - On completeness of root functions of elliptic boundary problems in a domain with conical points on the boundary JO - Comptes Rendus. Mathématique PY - 2002 SP - 649 EP - 654 VL - 334 IS - 8 PB - Elsevier DO - 10.1016/S1631-073X(02)02320-8 LA - en ID - CRMATH_2002__334_8_649_0 ER -
%0 Journal Article %A Youri V. Egorov %A Vladimir A. Kondratiev %A Bert-Wolfgang Schulze %T On completeness of root functions of elliptic boundary problems in a domain with conical points on the boundary %J Comptes Rendus. Mathématique %D 2002 %P 649-654 %V 334 %N 8 %I Elsevier %R 10.1016/S1631-073X(02)02320-8 %G en %F CRMATH_2002__334_8_649_0
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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