We establish a necessary and sufficient condition for a boundary point to be regular for the Dirichlet problem related to a class of Kolmogorov-type equations. Our criterion is inspired by two classical criteria for the heat equation: the Evans-Gariepy's Wiener test, and a criterion by Landis expressed in terms of a series of caloric potentials.

Wiener-Landis criterion for Kolmogorov-type operators

Tralli, Giulio
2018

Abstract

We establish a necessary and sufficient condition for a boundary point to be regular for the Dirichlet problem related to a class of Kolmogorov-type equations. Our criterion is inspired by two classical criteria for the heat equation: the Evans-Gariepy's Wiener test, and a criterion by Landis expressed in terms of a series of caloric potentials.
2018
Kogoj, Alessia E.; Lanconelli, Ermanno; Tralli, Giulio
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/2540201
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