Wiener-Landis criterion for Kolmogorov-type operators
Analysis of PDEs
2017-01-05 v1
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.
Keywords
Cite
@article{arxiv.1701.01073,
title = {Wiener-Landis criterion for Kolmogorov-type operators},
author = {A. E. Kogoj and E. Lanconelli and G. Tralli},
journal= {arXiv preprint arXiv:1701.01073},
year = {2017}
}