Das charakteristische Anfangswertproblem für \(U_{x_1x_2x_3}=f\) unter Carathéodory-Voraussetzungen

DOI10.1007/BF01222611zbMath0241.35052OpenAlexW1997414783MaRDI QIDQ2553745

Klaus Deimling

Publication date: 1971

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01222611

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (1)

On the set of solutions of a system of Volterra integral equations

Cites Work

• A Carathéodory theory for systems of integral equations
• Extension of range of functions
• Existence and uniqueness of solutions of the Darboux problem for the equation ${∂^3u \over ∂x_1 ∂x_2 ∂x_3} = {f(x_1, x_ 2, x_ 3, u, {∂u \over ∂x_1}, {∂u \over ∂x_2}, {∂u \over ∂x_3}, {∂^2u \over ∂x_1 ∂x_2}, {∂^2u \over ∂x_1, ∂x_3}, {∂^2u \over ∂x_2 ∂x_3})
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