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.
Wiener-Landis criterion for Kolmogorov-type operators
A. E. Kogoj
;
2018
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.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
wiener_landis_criterion.pdf
accesso aperto
Descrizione: articolo arXiv
Tipologia:
Versione pre-print
Licenza:
Creative commons
Dimensione
238.2 kB
Formato
Adobe PDF
|
238.2 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
