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.
(2006). Heat kernels for non-divergence operators of Hörmander type [journal article - articolo]. In COMPTES RENDUS MATHÉMATIQUE. Retrieved from http://hdl.handle.net/10446/19713
Heat kernels for non-divergence operators of Hörmander type
BRANDOLINI, Luca;
2006-01-01
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.File allegato/i alla scheda:
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