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 parameterization of the supporting hypersurface and on the parameter.
|Number of pages||46|
|Journal||Far East Journal of Mathematical Sciences|
|Publication status||Published - May 2011|
- Domain perturbation
- Periodic layer potentials
- Second order differential operators with constant coefficients
- Special nonlinear operators