The Riemann Problem on a Semicircle for a Generalized Cauchy-Riemann System with a Singular Line

摘要

By L we denote the semicircle L = {(x,y) : x~2 + y~2 = R~2, y ≥ 0}. Let D be the domain containing the point at infinity and bounded by the two-coast cut along the contour L, so that (partial deriv)D = L~+∪L~-.