A Mixed Problem for Normal Hyperbolic Linear Partial Differential Equations of Second Order
- 1 January 1957
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 9, 141-160
- https://doi.org/10.4153/cjm-1957-018-3
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).Keywords
This publication has 6 references indexed in Scilit:
- Uniqueness In Boundary Value Problems For The Second Order Hyperbolic EquationCanadian Journal of Mathematics, 1956
- Gemischte Randwertaufgaben bei partiellen Differentialgleichungen vom hyperbolischen TypusStudia Mathematica, 1936
- Quasilineare Differentialgleichungen zweiter Ordnung vom hyperbolischen Typus. Gemischte RandwertaufgabenStudia Mathematica, 1936
- Das Anfangswertproblem einer quasilinearen hyperbolischen Differentialgleichung zweiter Ordnung in beliebiger Anzahl von unabhängigen VeränderlichenFundamenta Mathematicae, 1935
- Sur la convergence forte dans les champs $L^{p}$Studia Mathematica, 1930
- Über die Eindeutigkeit und das Abhängigkeitsgebiet der Lösungen beim Anfangswertproblem linearer hyperbolischer DifferentialgleichungenMathematische Annalen, 1928