We show that periodic layer potentials associated to parameter dependent analytic families of fundamental solutions of second order differential operators with constant coefficients, depend real-analytically upon the density (or moment) function and on a suitable parametrization of the supporting hypersurface and on the parameter.
A perturbation result for periodic layer potentials of general second order differential operators with coonstant coefficients
LANZA DE CRISTOFORIS, MASSIMO;MUSOLINO, PAOLO
2011
Abstract
We show that periodic layer potentials associated to parameter dependent analytic families of fundamental solutions of second order differential operators with constant coefficients, depend real-analytically upon the density (or moment) function and on a suitable parametrization of the supporting hypersurface and on the parameter.File in questo prodotto:
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