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An Invariant Harnack Inequality for a Class of Hypoelliptic Ultraparabolic Equations |
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| Authors: | |
| Institution: | (1) Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato, 5, 40126 Bologna, Italy;(2) Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato, 5, 40126 Bologna, Italy |
| 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. |
| Keywords: | Primary 35H10 31B05 Secondary 35A08 35B05 35K70 |
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