Problem of the Riemann—Hilbert Type for a Hyperbolic System on the Plane

被引:0
作者
N. A. Zhura
A. P. Soldatov
机构
[1] Russian Academy of Sciences,Lebedev Physical Institute
[2] Russian Academy of Sciences,Dorodnitsyn Computing Center
来源
Differential Equations | 2019年 / 55卷
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摘要
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.
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页码:815 / 823
页数:8
相关论文
共 7 条
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Zhura NA(2017)A boundary-value problem for a first-order hyperbolic system in a two-dimensional domain Izv. Math. 81 542-567
[2]  
Soldatov AP(2017)Dirichlet type problems for first order strictly hyperbolic systems with constant coefficients in a two-dimensional domain J. Math. Sci. 17 595-609
[3]  
Zhura NA(1975)On the question of the statement of a characteristic problem for second-order hyperbolic systems Dokl. Akad. Nauk SSSR 223 1289-1292
[4]  
Polunin VA(1979)Characteristic problem for second-order hyperbolic systems with two independent variables Differ. Uravn. 15 142-152
[5]  
Bitsadze AV(1982)On the Goursat type problem for a class of systems of second-order hyperbolic equations Differ. Uravn. 18 152-166
[6]  
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