Darboux problem for the fourth-order Bianchi equation

DOI10.1134/S001226612103006XzbMath1462.35140MaRDI QIDQ2019633

A. N. Mironov

Publication date: 21 April 2021

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Riemann-Hadamard function

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary value problems for linear higher-order PDEs (35G15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

On the Darboux problem for hyperbolic systems ⋮ Constructing the Riemann-Hadamard function for a fourth-order Bianchi equation ⋮ Метод Римана для уравнений с доминирующей частной производной

Cites Work

• 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
• Construction of the Riemann function for the Bianchi equation in an \(n\)-dimensional space
• On the Laplace invariants of a fourth-order equation
• Darboux problem for the third-order Bianchi equation
• The construction of the Riemann function for a fourth-order equation
• On some classes of fourth-order Bianchi equations with constant ratios of Laplace invariants
• Cauchy-Goursat problems for a degenerate hyperbolic equation
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