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
P. MUSOLINO
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.
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