Über ähnlichkeitsprinzip und randwertaufgaben für verallgerneinerte analytische funktlonenf^†

^†Herrn Prof. Dr. Wolfgang Haack zum 70. Geburtstag gewidmet.

Abstract

One can construct the solutions of Riemann-Hiibert boundary-value problems for generalized analytic functions locally without reference to the similarity principle. Then the similarity principle proves to be a conclusion from the existence theorems for the boundary-value problems.

In this paper we deal with the opposite question: The solution of a Riemann-Hilbert boundary-value problem can be found by using the similarity principle. Essential aids are Green's functions of the Laplacian in a simple connected domain and Schauder's fixed point principle. With Schauder's continuity method one obtains a constructive procedure.

^†Herrn Prof. Dr. Wolfgang Haack zum 70. Geburtstag gewidmet.

^†Herrn Prof. Dr. Wolfgang Haack zum 70. Geburtstag gewidmet.

Notes

^†Herrn Prof. Dr. Wolfgang Haack zum 70. Geburtstag gewidmet.