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Comptes Rendus Mathématique
Volume 343, n° 7
pages 463-466 (octobre 2006)
Doi : 10.1016/j.crma.2006.09.003
Received : 14 December 2005 ;  accepted : 5 September 2006
Heat kernels for non-divergence operators of Hörmander type
Noyaux de la chaleur pour des opérateurs de Hörmander qui ne sont pas sous forme de divergence

Marco Bramanti a , Luca Brandolini b , Ermanno Lanconelli c , Francesco Uguzzoni c
a Dipartimento di Matematica, Politecnico di Milano, Via Bonardi 9, 20133 Milano, Italy 
b Dipartimento di Ingegneria Gestionale e dellʼInformazione, Università di Bergamo, Viale Marconi 5, 24044 Dalmine, Italy 
c Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italy 


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. To cite this article: M. Bramanti et al., C. R. Acad. Sci. Paris, Ser. I 343 (2006).

The full text of this article is available in PDF format.

Nous démontrons lʼexistence dʼune solution fondamentale pour une classe dʼopérateurs 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. Pour citer cet article : M. Bramanti et al., C. R. Acad. Sci. Paris, Ser. I 343 (2006).

The full text of this article is available in PDF format.

© 2006  Académie des sciences@@#104156@@
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