Harnack inequalities and Gaussian estimates for a class of hypoelliptic operators

Pascucci, Andrea ; Polidoro, Sergio (2004) Harnack inequalities and Gaussian estimates for a class of hypoelliptic operators. [Preprint]

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Abstract

We prove a global Harnack inequality for a class of degenerate evolution operators by using repeatedly an invariant local Harnack inequality. As a consequence we obtain an accurate Gaussian lower bound for the fundamental solution for some meaningful families of degenerate operators.

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