Email this article Problem of the Riemann—Hilbert Type for a Hyperbolic System on the Plane
- Authors: Zhura N.A.1, Soldatov A.P.2
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Affiliations:
- Lebedev Physical Institute
- Dorodnitsyn Computing Center
- Issue: Vol 55, No 6 (2019)
- Pages: 815-823
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/155047
- DOI: https://doi.org/10.1134/S0012266119060089
- ID: 155047
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Abstract
We study a boundary value problem of the Riemann-Hilbert type for strictly hyperbolic first-order systems with constant coefficients and without lower-order terms in bounded domains of a special shape on the plane. Sufficient conditions for the unique solvability of this problem in weighted function classes are obtained.
About the authors
N. A. Zhura
Lebedev Physical Institute
Author for correspondence.
Email: nikzhura@gmail.com
Russian Federation, Moscow, 119991
A. P. Soldatov
Dorodnitsyn Computing Center
Author for correspondence.
Email: soldatov48@gmail.com
Russian Federation, Moscow, 119333
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