In this note we review some recent results in [64, 95, 96] concerning necessary and sufficient conditions for the regularity of boundary points relatively to the Dirichlet problem for linear degenerate-parabolic operators with well-behaved fundamental solutions. The main focus is on Wiener-type criteria for a class of operators whose degeneracy is controlled by H¨ormander vector fields.
BOUNDARY REGULARITY PROBLEMS FOR SOME ELLIPTIC-PARABOLIC EQUATIONS / GIULIO TRALLI; FRANCESCO UGUZZONI. - In: LE MATEMATICHE. - ISSN 0373-3505. - STAMPA. - 75:1(2020), pp. 117-136. [10.4418/2020.75.1.7]
BOUNDARY REGULARITY PROBLEMS FOR SOME ELLIPTIC-PARABOLIC EQUATIONS
FRANCESCO UGUZZONI
2020
Abstract
In this note we review some recent results in [64, 95, 96] concerning necessary and sufficient conditions for the regularity of boundary points relatively to the Dirichlet problem for linear degenerate-parabolic operators with well-behaved fundamental solutions. The main focus is on Wiener-type criteria for a class of operators whose degeneracy is controlled by H¨ormander vector fields.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
1970-Article Text-5945-1-10-20191224.pdf
accesso aperto
Tipo:
Versione (PDF) editoriale
Licenza:
Licenza per Accesso Aperto. Creative Commons Attribuzione (CCBY)
Dimensione
193.76 kB
Formato
Adobe PDF
|
193.76 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
