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 Hörmander 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.
Tralli G., Uguzzoni F. (2020). A Wiener test à la Landis for evolutive Hörmander operators. JOURNAL OF FUNCTIONAL ANALYSIS, 278(6), 1-34 [10.1016/j.jfa.2019.108410].
A Wiener test à la Landis for evolutive Hörmander operators
Tralli G.;Uguzzoni F.
2020
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 Hörmander 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.| File | Dimensione | Formato | |
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1903.04438.pdf
Open Access dal 27/11/2021
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Licenza per Accesso Aperto. Creative Commons Attribuzione - Non commerciale - Non opere derivate (CCBYNCND)
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