We prove a non-local Harnack inequality for a class of degenerateevolution operators by repeatedly using 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.

Harnack inequalities and Gaussian estimates for a class of hypoelliptic operators / Andrea, Pascucci; Polidoro, Sergio. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - STAMPA. - 358:(2006), pp. 4873-4893. [10.1090/S0002-9947-06-04050-5]

Harnack inequalities and Gaussian estimates for a class of hypoelliptic operators

POLIDORO, Sergio
2006

Abstract

We prove a non-local Harnack inequality for a class of degenerateevolution operators by repeatedly using 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.
2006
358
4873
4893
Harnack inequalities and Gaussian estimates for a class of hypoelliptic operators / Andrea, Pascucci; Polidoro, Sergio. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - STAMPA. - 358:(2006), pp. 4873-4893. [10.1090/S0002-9947-06-04050-5]
Andrea, Pascucci; Polidoro, Sergio
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/612704
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