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
2011-01-01

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10278/3723542
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