Schwarz problem for first-order elliptic systems on the plane


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Abstract

We consider the Schwarz problem for J-analytic functions for the case in which the Jordan basis Q of the matrix J contains complex conjugate vectors. Conditions on the matrix Q are obtained under which there exists a unique solution of the Schwarz problem in Hölder classes.

About the authors

V. B. Vasil’ev

Belgorod National Research University

Author for correspondence.
Email: vbv57@inbox.ru
Russian Federation, Belgorod, 308015

V. G. Nikolaev

Yaroslav-the-Wise Novgorod State University

Email: vbv57@inbox.ru
Russian Federation, Veliky Novgorod, 173003

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