Reconstruction of solutions to a generalized Moisil-Teodorescu system in Jordan domains with rectfiable boundary

Abstract

In this paper we consider the problem of reconstructing solutions to a generalized Moisil-Teodorescu system in Jordan domains of ${\mathbb{R}}^3$ with rectifiable boundary. In order to determine conditions for existence of solutions to the problem we embed the system in an appropriate generalized quaternionic setting.