On the Darboux Problem for a Hyperbolic System of Equations with Multiple Characteristics

被引：0

作者：

Mironov, A. N. ^{[1
]}

Volkov, A. P. ^{[2
]}

机构：

[1] Kazan Fed Univ, Elabuga Inst, Yelabuga 423600, Russia

[2] Samara State Tech Univ, Samara 443100, Russia

来源：

RUSSIAN MATHEMATICS | 2022年 / 66卷 / 08期

关键词：

hyperbolic system; Riemann method; Riemann matrix; Riemann-Hadamard method; Riemann-Hadamard matrix; characteristics; BOUNDARY-VALUE-PROBLEMS; NORMAL DERIVATIVES; CAUCHY-PROBLEM;

D O I：

10.3103/S1066369X22080060

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence and uniqueness of a solution of the boundary value problem with conditions on one of the characteristics and on the free line for a system of hyperbolic equations with multiple characteristics. An analog of the Riemann-Hadamard method for this problem is developed, and a definition of the Riemann-Hadamard matrix is given. The solution of this problem is constructed in terms of the introduced Riemann-Hadamard matrix.

引用

页码：31 / 36

页数：6

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