Time dependent boundary norms for kernels and regularizing properties of the double layer heat potential
Massimo Lanza de Cristoforis, Paolo Luzzini · Padua Research Archive (University of Padova) · 2017
We introduce a class of norms for time dependent kernels on the boundary of Lipschitz parabolic cylinders and we prove theorems of joint continuity of integral operators upon variation of both the kernel and the density function. As an application, we prove that the integral operator associated to the double layer heat potential has a regularizing property on the boundary.