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.
We show that volume potentials associated to a parameter dependent analytic family of weakly singular kernels depend real-analytically 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 constant coefficients.
Autori: | |
Data di pubblicazione: | 2015 |
Titolo: | Analytic Dependence of Volume Potentials Corresponding to Parametric Families of Fundamental Solutions |
Rivista: | INTEGRAL EQUATIONS AND OPERATOR THEORY |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s00020-015-2236-3 |
Volume: | 82 |
Appare nelle tipologie: | 2.1 Articolo su rivista |
File in questo prodotto:
File | Descrizione | Tipologia | Licenza | |
---|---|---|---|---|
birkjour-voporo07nov14.pdf | preprint | Documento in Pre-print | Accesso chiuso-personale | Riservato |