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 / Kogoj, Alessia E.; Lanconelli, Ermanno; Tralli, Giulio. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 38:5(2018), pp. 2467-2485. [10.3934/dcds.2018102]

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1090624
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