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arXiv · 1701.01073

Wiener-Landis criterion for Kolmogorov-type operators

A. E. Kogoj·E. Lanconelli·G. Tralli
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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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A. E. Kogoj, E. Lanconelli, G. Tralli. 2017-01-04. Wiener-Landis criterion for Kolmogorov-type operators. https://arxiv.org/abs/1701.01073

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