# 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:

- 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}

}

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.