[Noyaux de la chaleur pour des opérateurs de Hörmander qui ne sont pas sous forme de divergence]
Nous démontrons l'existence d'une solution fondamentale pour une classe d'opérateurs de Hörmander de type chaleur. Pour cette solution fondamentale et ses dérivées nous obtenons des bornes Gaussiennes optimales qui nous permettent de démontrer une inégalité de Harnack invariante.
We prove the existence of a fundamental solution for a class of Hörmander heat-type operators. For this fundamental solution and its derivatives we obtain sharp Gaussian bounds that allow to prove an invariant Harnack inequality.
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@article{CRMATH_2006__343_7_463_0,
author = {Bramanti, Marco and Brandolini, Luca and Lanconelli, Ermanno and Uguzzoni, Francesco},
title = {Heat kernels for non-divergence operators of {H\"ormander} type},
journal = {Comptes Rendus. Math\'ematique},
pages = {463--466},
publisher = {Elsevier},
volume = {343},
number = {7},
year = {2006},
doi = {10.1016/j.crma.2006.09.003},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2006.09.003/}
}
TY - JOUR AU - Bramanti, Marco AU - Brandolini, Luca AU - Lanconelli, Ermanno AU - Uguzzoni, Francesco TI - Heat kernels for non-divergence operators of Hörmander type JO - Comptes Rendus. Mathématique PY - 2006 SP - 463 EP - 466 VL - 343 IS - 7 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2006.09.003/ DO - 10.1016/j.crma.2006.09.003 LA - en ID - CRMATH_2006__343_7_463_0 ER -
%0 Journal Article %A Bramanti, Marco %A Brandolini, Luca %A Lanconelli, Ermanno %A Uguzzoni, Francesco %T Heat kernels for non-divergence operators of Hörmander type %J Comptes Rendus. Mathématique %D 2006 %P 463-466 %V 343 %N 7 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2006.09.003/ %R 10.1016/j.crma.2006.09.003 %G en %F CRMATH_2006__343_7_463_0
Bramanti, Marco; Brandolini, Luca; Lanconelli, Ermanno; Uguzzoni, Francesco. Heat kernels for non-divergence operators of Hörmander type. Comptes Rendus. Mathématique, Tome 343 (2006) no. 7, pp. 463-466. doi : 10.1016/j.crma.2006.09.003. http://www.numdam.org/articles/10.1016/j.crma.2006.09.003/
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