Additivity of the space of densities of simple-layer potentials with a finite dirichlet integral and integrability of normal derivatives of harmonic W 12-functions on Lipschitz surfaces
V. I. Astakhov · Mathematical Notes · 2011
We prove that the normal derivatives of piecewise harmonic functions and the densities of surface simple-layer potentials with a finite Dirichlet integral belong to the Lebesgue space on Lipschitz surfaces.