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.File allegati a questo prodotto
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