A Wiener test \`a la Landis for evolutive H\"ormander operators

25 Nov 2019  ·  Tralli Giulio, Uguzzoni Francesco ·

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. read more

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Analysis of PDEs