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

Authors: Andrea Pascucci and Sergio Polidoro
Translated by:
Journal: Trans. Amer. Math. Soc. 356 (2004), 4383-4394
MSC (2000): Primary 35K57, 35K65, 35K70
DOI: https://doi.org/10.1090/S0002-9947-04-03407-5
Published electronically: January 16, 2004
MathSciNet review: 2067125
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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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