A Wiener test \`a la Landis for evolutive H\"ormander operators
Analysis of PDEs
2019-11-27 v2
Abstract
In this paper we prove a Wiener-type characterization of boundary regularity, in the spirit of a classical result by Landis, for a class of evolutive H\"ormander operators. We actually show the validity of our criterion for a larger class of degenerate-parabolic operators with a fundamental solution satisfying suitable two-sided Gaussian bounds. Our condition is expressed in terms of a series of balayages or, (as it turns out to be) equivalently, Riesz-potentials.
Cite
@article{arxiv.1903.04438,
title = {A Wiener test \`a la Landis for evolutive H\"ormander operators},
author = {Giulio Tralli and Francesco Uguzzoni},
journal= {arXiv preprint arXiv:1903.04438},
year = {2019}
}
Comments
The paper is going to appear in J. Funct. Anal