30 citations · 31 across the 8 of their papers we have counts for
4 papers · 1 filter
Classes of kernels and continuity properties of the double layer potential in Hölder spaces
M. Lanza de Cristoforis
We prove the validity of regularizing properties of the boundary integral operator corresponding to the double layer potential associated to the fundamental solution of a {\em nonh…
On the tangential gradient of the kernel of the double layer potential
M. Lanza de Cristoforis
In this paper we consider an elliptic operator with constant coefficients and we estimate the maximal function of the tangential gradient of the kernel of the double layer potentia…
A necessary condition on a singular kernel for the continuity of an integral operator in Hölder spaces
Massimo Lanza de Cristoforis
We prove that a condition of boundedness of the maximal function of a singular integral operator, that is known to be sufficient for the continuity of the corresponding integral op…
Continuity of the double layer potential of a second order elliptic differential operator in Schauder spaces on the boundary
Massimo Lanza de Cristoforis
We prove the validity of a regularizing property on the boundary of the double layer potential associated to the fundamental solution of a {\em nonhomogeneous} second order ellipti…