On the Harnack inequality for a class of hypoelliptic evolution equations

Pascucci, Andrea; Polidoro, Sergio

doi:10.1090/S0002-9947-04-03407-5

On the Harnack inequality for a class of hypoelliptic evolution equations
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by Andrea Pascucci and Sergio Polidoro PDF

Trans. Amer. Math. Soc. 356 (2004), 4383-4394 Request permission

Abstract:

We give a direct proof of the Harnack inequality for a class of degenerate evolution operators which contains the linearized prototypes of the Kolmogorov and Fokker-Planck operators. We also improve the known results in that we find explicitly the optimal constant of the inequality.

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