Di Francesco, Marco ; Polidoro, Sergio
(2006)
Schauder estimates, Harnack inequality and Gaussian lower bound for Kolmogorov type operators in non-divergence form.
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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.
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- Schauder estimates, Harnack inequality and Gaussian lower bound for Kolmogorov type operators in non-divergence form. (deposited 22 Mar 2006) [Currently displayed]
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