The volume potential for elliptic differential operators in Schauder spaces

Abstract

The aim of this paper is to prove continuity results for the volume potential corresponding to the fundamental solution of a second order differential operator with constant coefficients in Schauder spaces of negative exponent and to generalize some classical results in Schauder spaces of positive exponents.

arXiv admin note: text overlap with arXiv:2405.01818, arXiv:2307.04775, arXiv:2305.19672