[Sur la complétude des fonctions propres et associées d'un problème au bord elliptique dans un domaine avec points coniques sur le bord]
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 avec points coniques sur le bord, forment un système total.
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.
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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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