Riemann-Hilbert problem for the Moisil-Teodorescu system in multiple connected domains

Abstract

In this article we obtain a new integral representation of the general solution of the Moisil-Teodorescu system in a multiply connected domain. Also we give applications of this representation to Riemann-Hilbert problem.

Keywords

• Riemann-Gilbert problem
• elliptic system
• integral of Cauchy type
• Fredholm integral operator
• Moisil-Teodorescu system