This paper is devoted to a precise description of the singularity near the diagonal of the Green function associated to a hypoelliptic operator using a probabilistic approach. Examples and some applications to potential theory are given.
Publié le : 1998-07-05
Classification:
Hypoelliptic operator,
Green function,
degenerate diffusion,
Taylor stochastic expansion,
capacity,
60J60,35H05, 60H10, 60J45,
[MATH.MATH-PR]Mathematics [math]/Probability [math.PR],
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
@article{hal-00120169,
author = {Ben Arous, G\'erard and Gradinaru, Mihai},
title = {Singularities of Hypoelliptic Green Functions},
journal = {HAL},
volume = {1998},
number = {0},
year = {1998},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00120169}
}
Ben Arous, Gérard; Gradinaru, Mihai. Singularities of Hypoelliptic Green Functions. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-00120169/