We show that Hypoelliptic Kolmogorov equations are invariant with respect to a suitable Lie group structure. We prove a Harnack inequality which is invariant with respet to the Lie group structure. We give a characterization of the Kolmogorov operators that are related to a homogeneous Lie group
On a class of hypoelliptic evolution operators / E., Lanconelli; Polidoro, Sergio. - In: RENDICONTI DEL SEMINARIO MATEMATICO. - ISSN 0373-1243. - STAMPA. - 52:(1994), pp. 29-63.
On a class of hypoelliptic evolution operators
POLIDORO, Sergio
1994
Abstract
We show that Hypoelliptic Kolmogorov equations are invariant with respect to a suitable Lie group structure. We prove a Harnack inequality which is invariant with respet to the Lie group structure. We give a characterization of the Kolmogorov operators that are related to a homogeneous Lie group
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