Abstract
We show an invariant Harnack inequality for a class of hypoelliptic ultraparabolic operators with underlying homogeneous Lie group structures. As a byproduct we prove a Liouville type theorem for the related “stationary” operators. We also introduce a notion of link of homogeneous Lie Groups that allows us to show that our results apply to wide classes of operators.
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Kogoj, A., Lanconelli, E. An Invariant Harnack Inequality for a Class of Hypoelliptic Ultraparabolic Equations . Mediterr. j. math. 1, 51–80 (2004). https://doi.org/10.1007/s00009-004-0004-8
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DOI: https://doi.org/10.1007/s00009-004-0004-8