Nous obtenons, par deux approches différentes, des équations de diffusion de nature géométrique pour les 1-courants. Nous discutons quelques résultats d’existence et d’unicité.
We get diffusion equations of geometric nature for 1-currents through two different approaches. Partial existence and uniqueness results are discussed.
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@article{AFST_2017_6_26_4_831_0,
author = {Yann Brenier},
title = {Geometric diffusions of 1-currents},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {831--846},
publisher = {Universit\'e Paul Sabatier, Toulouse},
volume = {Ser. 6, 26},
number = {4},
year = {2017},
doi = {10.5802/afst.1554},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1554/}
}
TY - JOUR AU - Yann Brenier TI - Geometric diffusions of 1-currents JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2017 SP - 831 EP - 846 VL - 26 IS - 4 PB - Université Paul Sabatier, Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.1554/ DO - 10.5802/afst.1554 LA - en ID - AFST_2017_6_26_4_831_0 ER -
%0 Journal Article %A Yann Brenier %T Geometric diffusions of 1-currents %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2017 %P 831-846 %V 26 %N 4 %I Université Paul Sabatier, Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1554/ %R 10.5802/afst.1554 %G en %F AFST_2017_6_26_4_831_0
Yann Brenier. Geometric diffusions of 1-currents. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 26 (2017) no. 4, pp. 831-846. doi : 10.5802/afst.1554. https://afst.centre-mersenne.org/articles/10.5802/afst.1554/
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