Schwarz problem for first-order elliptic systems on the plane
- Authors: Vasil’ev V.B.1, Nikolaev V.G.2
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Affiliations:
- Belgorod National Research University
- Yaroslav-the-Wise Novgorod State University
- Issue: Vol 53, No 10 (2017)
- Pages: 1318-1328
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/154590
- DOI: https://doi.org/10.1134/S0012266117100081
- ID: 154590
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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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