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

A. E. Kogoj
;
2018-01-01

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/11576/2655754
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