Boundary-value problems with data on characteristics for hyperbolic systems of equations

DOI10.1134/S1995080220030130zbMath1450.35165OpenAlexW3043151189MaRDI QIDQ2207049

L. B. Mironova

Publication date: 27 October 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080220030130

zbMATH Keywords

characteristicsRiemann methodRiemann matrixRiemann-Hadamard matrixGoursat and Darboux boundary-value problemsRiemann-Hadamard method

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (5)

On the Darboux problem for hyperbolic systems ⋮ On the Darboux problem for a hyperbolic system of equations with multiple characteristics ⋮ Riemann-Hadamard method for one system in three-dimensional space ⋮ Conditions for the existence and uniqueness of the solution of the Goursat problem for a system of equations with dominant partial derivatives;Условия существования и единственности решения задачи Гурса для системы уравнений с доминирующими частными производными ⋮ Метод Римана для уравнений с доминирующей частной производной

Cites Work

• Characteristic problems with normal derivatives for hyperbolic systems
• An integral representation of the solution of the Darboux problem
• Some properties and applications of the Riemann and Green-Hadamard functions for linear second-order hyperbolic equations
• The Riemann method in \(\mathbb{R}^n\) for a system with multiple characteristics
• A Darboux-type problem in the trihedral angle for a third-order equation of hyperbolic type
• Darboux problem for the third-order Bianchi equation
• The solvability of hyperbolic equations in quadratures
• Cauchy-Goursat problems for a degenerate hyperbolic equation
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