[Lʼespace sur une surface – Application à des conditions de compatibilité du type de Donati sur une surface]
Dans cette Note, on montre comment définir lʼanalogue de lʼespace classique sur une surface. On établit ensuite diverses propriétés de cet espace, en particulier lʼexistence dʼune formule de Green fondamentale satisfaite par ses éléments. Ces résultats sont ensuite utilisés pour identifier des conditions de compatibilité du type de Donati sur une surface.
In this Note, we show how the analogue of the classical space can be defined on a surface. We then establish several properties of this space, notably the existence of a basic Greenʼs formula satisfied by its elements. These results are then used for identifying Donati-like compatibility conditions on a surface.
Publié le :
Philippe G. Ciarlet 1 ; Oana Iosifescu 2
@article{CRMATH_2013__351_23-24_943_0,
author = {Philippe G. Ciarlet and Oana Iosifescu},
title = {The space $ \mathit{H}(\mathrm{div},\cdot )$ on a surface {\textendash} {Application} to {Donati-like} compatibility conditions on a surface},
journal = {Comptes Rendus. Math\'ematique},
pages = {943--947},
publisher = {Elsevier},
volume = {351},
number = {23-24},
year = {2013},
doi = {10.1016/j.crma.2013.10.023},
language = {en},
}
TY - JOUR
AU - Philippe G. Ciarlet
AU - Oana Iosifescu
TI - The space $ \mathit{H}(\mathrm{div},\cdot )$ on a surface – Application to Donati-like compatibility conditions on a surface
JO - Comptes Rendus. Mathématique
PY - 2013
SP - 943
EP - 947
VL - 351
IS - 23-24
PB - Elsevier
DO - 10.1016/j.crma.2013.10.023
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%A Oana Iosifescu
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Philippe G. Ciarlet; Oana Iosifescu. The space $ \mathit{H}(\mathrm{div},\cdot )$ on a surface – Application to Donati-like compatibility conditions on a surface. Comptes Rendus. Mathématique, Volume 351 (2013) no. 23-24, pp. 943-947. doi : 10.1016/j.crma.2013.10.023. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.10.023/
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