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.
Analytic Dependence of Volume Potentials Corresponding to Parametric Families of Fundamental Solutions
MUSOLINO, PAOLO
2015-01-01
Abstract
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.File | Dimensione | Formato | |
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