We prove an explicit formula for the tangential derivatives of the double layer heat potential. By exploiting such a formula, we prove the validity of a regularizing property for the integral operator associated to the double layer heat potential in spaces of functions with high-order derivatives in parabolic Hölder spaces defined on the boundary of parabolic cylinders which are unbounded in the time variable.
Tangential derivatives and higher-order regularizing properties of the double layer heat potential
De Cristoforis, Massimo Lanza
;LUZZINI, PAOLO
2018
Abstract
We prove an explicit formula for the tangential derivatives of the double layer heat potential. By exploiting such a formula, we prove the validity of a regularizing property for the integral operator associated to the double layer heat potential in spaces of functions with high-order derivatives in parabolic Hölder spaces defined on the boundary of parabolic cylinders which are unbounded in the time variable.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
10.1515_anly-2018-0012.pdf
accesso aperto
Tipologia:
Published (publisher's version)
Licenza:
Accesso libero
Dimensione
772.78 kB
Formato
Adobe PDF
|
772.78 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
