Darboux problem for the third-order Bianchi equation

DOI10.1134/S0001434617070069zbMath1380.35059OpenAlexW2765283617MaRDI QIDQ1688310

A. N. Mironov

Publication date: 5 January 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434617070069

zbMATH Keywords

existence and uniquenessRiemann-Hadamard function

Mathematics Subject Classification ID

Boundary value problems for linear higher-order PDEs (35G15)

Related Items (8)

Darboux system and separation of variables in the Goursat problem for a third order equation in \(\mathbb{R}^3\) ⋮ On the Darboux problem for hyperbolic systems ⋮ Boundary-value problems with data on characteristics for hyperbolic systems of equations ⋮ Riemann-Hadamard method for one system in three-dimensional space ⋮ Constructing the Riemann-Hadamard function for a fourth-order Bianchi equation ⋮ Darboux problem for the fourth-order Bianchi equation ⋮ Construction of the Riemann-Hadamard function for the three-dimensional Bianchi equation ⋮ Метод Римана для уравнений с доминирующей частной производной

Cites Work

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• 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 for a three-dimensional hyperbolic equation of third order
• A Darboux-type problem in the trihedral angle for a third-order equation of hyperbolic type
• Cauchy-Goursat problems for a degenerate hyperbolic equation
• Classes of Bianchi equations of third order

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