We show that volume potentials associated to a parameter de- pendent analytic family of weakly singular kernels depend real-analyt- ically upon the density function and on the parameter. Then we consider the special case in which the analytic family corresponds to a family of fundamental solutions of second order differential operators with con- stant coefficients.
Analytic dependence of volume potentials corresponding to parametric families of fundamental solutions
LANZA DE CRISTOFORIS, MASSIMO;MUSOLINO, PAOLO
2015
Abstract
We show that volume potentials associated to a parameter de- pendent analytic family of weakly singular kernels depend real-analyt- ically upon the density function and on the parameter. Then we consider the special case in which the analytic family corresponds to a family of fundamental solutions of second order differential operators with con- stant coefficients.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
20_2015_2236_Author.pdf
accesso aperto
Descrizione: Articolo principale
Tipologia:
Postprint (accepted version)
Licenza:
Accesso libero
Dimensione
915.96 kB
Formato
Adobe PDF
|
915.96 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
