[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.
Accepté le :
Publié le :
Marco Bramanti 1 ; Luca Brandolini 2 ; Ermanno Lanconelli 3 ; Francesco Uguzzoni 3
@article{CRMATH_2006__343_7_463_0,
author = {Marco Bramanti and Luca Brandolini and Ermanno Lanconelli and Francesco Uguzzoni},
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},
}
TY - JOUR AU - Marco Bramanti AU - Luca Brandolini AU - Ermanno Lanconelli AU - Francesco Uguzzoni 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 DO - 10.1016/j.crma.2006.09.003 LA - en ID - CRMATH_2006__343_7_463_0 ER -
%0 Journal Article %A Marco Bramanti %A Luca Brandolini %A Ermanno Lanconelli %A Francesco Uguzzoni %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 %R 10.1016/j.crma.2006.09.003 %G en %F CRMATH_2006__343_7_463_0
Marco Bramanti; Luca Brandolini; Ermanno Lanconelli; Francesco Uguzzoni. Heat kernels for non-divergence operators of Hörmander type. Comptes Rendus. Mathématique, Volume 343 (2006) no. 7, pp. 463-466. doi : 10.1016/j.crma.2006.09.003. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.09.003/
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