Article

Access to the text (HTML) Access to the text (HTML)
PDF Access to the PDF text
Advertising


Access to the full text of this article requires a subscription.
  • If you are a subscriber, please sign in 'My Account' at the top right of the screen.

  • If you want to subscribe to this journal, see our rates

  • You can purchase this item in Pay Per ViewPay per View - FAQ : 30,00 € Taxes included to order
    Pages Iconography Videos Other
    4 0 0 0


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 

Abstract

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.
Résumé

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@@
EM-CONSULTE.COM is registrered at the CNIL, déclaration n° 1286925.
As per the Law relating to information storage and personal integrity, you have the right to oppose (art 26 of that law), access (art 34 of that law) and rectify (art 36 of that law) your personal data. You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.
Personal information regarding our website's visitors, including their identity, is confidential.
The owners of this website hereby guarantee to respect the legal confidentiality conditions, applicable in France, and not to disclose this data to third parties.
Close
Article Outline
You can move this window by clicking on the headline
@@#110903@@