Email this article On Solutions to the Schwarz Problem in a Disk in the Three-Dimensional Case
- Authors: Nikolaev V.G.1
-
Affiliations:
- Yaroslav-the-Wise Novgorod State University
- Issue: Vol 228, No 6 (2018)
- Pages: 672-683
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/240345
- DOI: https://doi.org/10.1007/s10958-017-3655-2
- ID: 240345
Cite item
Open Access
Access granted
Subscription Access
Abstract
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.
About the authors
V. G. Nikolaev
Yaroslav-the-Wise Novgorod State University
Author for correspondence.
Email: vg14@inbox.ru
Russian Federation, 41, Bol’shaya Sankt-Peterburgskaya St, Veliky Novgorod, 173003
Supplementary files
