On Solutions to the Schwarz Problem in a Disk in the Three-Dimensional Case


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We consider the Schwarz problem for first order elliptic systems in the plane. We obtain the conditions on three– and two-dimensional matrices J admitting nondiagonal Jordan form under which a solution to the Schwarz problem in an arbitrary disk exists and is unique in Hölder classes. We describe an algorithm for constructing the solution. Bibliography: 5 titles.

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V. Nikolaev

Yaroslav-the-Wise Novgorod State University

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Email: vg14@inbox.ru
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