A Mixed Problem for Normal Hyperbolic Linear Partial Differential Equations of Second Order

Author:

Duff G. F. D.

Abstract

In the theory of hyperbolic differential equations a mixed boundary value problem involves two types of auxiliary conditions which may be described as initial and boundary conditions respectively. The problem of Cauchy, in which only initial conditions are present, has been studied in great detail, starting with the early work of Riemann and Volterra, and the well-known monograph of Hadamard (4). A modern treatment of great generality has been given by Leray (7).

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A Mixed Problem for a Class of Second-Order Nonlinear Hyperbolic Systems with Dirichlet and Poincaré Boundary Conditions;Matematicheskie Zametki;2023

2. A nonlinear wave equation in a time dependent domain;Journal of Mathematical Analysis and Applications;1973-04

3. Initial-boundary value problems and moving boundaries;Analytic Theory of Differential Equations;1971

4. Exterior initial-boundary value problems for quasilinear hyperbolic equations in time-dependent domains;Journal of Mathematical Analysis and Applications;1969-07

5. A mixed problem for hyperbolic equations with time-dependent domain;Journal of Mathematical Analysis and Applications;1966-12

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