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

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.

Authors:
 [1]
  1. Yaroslav-the-Wise Novgorod State University (Russian Federation)
Publication Date:
OSTI Identifier:
22771580
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 228; Journal Issue: 6; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; ALGORITHMS; BOUNDARY-VALUE PROBLEMS; MATHEMATICAL SOLUTIONS; MATRICES; THREE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

Nikolaev, V. G., E-mail: vg14@inbox.ru. On Solutions to the Schwarz Problem in a Disk in the Three-Dimensional Case. United States: N. p., 2018. Web. doi:10.1007/S10958-017-3655-2.
Nikolaev, V. G., E-mail: vg14@inbox.ru. On Solutions to the Schwarz Problem in a Disk in the Three-Dimensional Case. United States. doi:10.1007/S10958-017-3655-2.
Nikolaev, V. G., E-mail: vg14@inbox.ru. Thu . "On Solutions to the Schwarz Problem in a Disk in the Three-Dimensional Case". United States. doi:10.1007/S10958-017-3655-2.
@article{osti_22771580,
title = {On Solutions to the Schwarz Problem in a Disk in the Three-Dimensional Case},
author = {Nikolaev, V. G., E-mail: vg14@inbox.ru},
abstractNote = {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.},
doi = {10.1007/S10958-017-3655-2},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 6,
volume = 228,
place = {United States},
year = {2018},
month = {2}
}