We prove a global Harnack inequality for a class of degenerate evolution operators by using repeatedly an invariant local Harnack inequality. As a consequence we obtain an accurate Gaussian lower bound for the fundamental solution for some meaningful families of degenerate operators.
A. Pascucci , S. Polidoro (2006). Harnack inequalities and Gaussian estimates for a class of hypoelliptic operators. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 358-11, 4873-4893 [10.1090/S0002-9947-06-04050-5].
Harnack inequalities and Gaussian estimates for a class of hypoelliptic operators
PASCUCCI, ANDREA;
2006
Abstract
We prove a global Harnack inequality for a class of degenerate evolution operators by using repeatedly an invariant local Harnack inequality. As a consequence we obtain an accurate Gaussian lower bound for the fundamental solution for some meaningful families of degenerate operators.File in questo prodotto:
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