Schauder estimates, Harnack inequality and Gaussian lower bound for Kolmogorov type operators in non-divergence form

Di Francesco, Marco ; Polidoro, Sergio (2006) Schauder estimates, Harnack inequality and Gaussian lower bound for Kolmogorov type operators in non-divergence form. [Preprint]
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Abstract

We prove some Schauder type estimates and an invariant Harnack inequality for a class of degenerate evolution operators of Kolmogorov type. We also prove a Gaussian lower bound for the fundamental solution of the operator and a uniqueness result for the Cauchy problem. The proof of the lower bound is obtained by solving a suitable optimal control problem and using the invariant Harnack inequality.

Abstract
Tipologia del documento
Preprint
Autori
AutoreAffiliazioneORCID
Di Francesco, Marco
Polidoro, Sergio
Parole chiave
Parabolic partial differential equations, fundamental solution, Harnack inequality, Schauder estimates
Settori scientifico-disciplinari
DOI
Data di deposito
22 Mar 2006
Ultima modifica
16 Mag 2011 12:01
URI

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