The inverse problem for linear elliptic systems of first order with Riemann–Hilbert-type map in multiply connected domains

Abstract

The present article deals with the inverse problem for linear elliptic systems of first-order equations with Riemann–Hilbert-type map in multiply connected domains. First, the formulation and the complex form of the problem for the systems are given, and then the existence and global uniqueness of solutions for the above problem are proved by a complex analytic method.