On Solutions to the Schwarz Problem in a Disk in the Three-Dimensional Case
- Autores: Nikolaev V.G.1
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Afiliações:
- Yaroslav-the-Wise Novgorod State University
- Edição: Volume 228, Nº 6 (2018)
- Páginas: 672-683
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/240345
- DOI: https://doi.org/10.1007/s10958-017-3655-2
- ID: 240345
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Resumo
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.
Sobre autores
V. Nikolaev
Yaroslav-the-Wise Novgorod State University
Autor responsável pela correspondência
Email: vg14@inbox.ru
Rússia, 41, Bol’shaya Sankt-Peterburgskaya St, Veliky Novgorod, 173003
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