Abstract evolution equations and the mixed problem for symmetric hyperbolic systems
Open Access
- 1 June 1972
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 168, 165-188
- https://doi.org/10.2307/1996168
Abstract
In this paper we show that Kato's theory of linear evolution equations may be applied to the mixed problem for first order symmetric hyperbolic systems of partial differential equations.Keywords
This publication has 9 references indexed in Scilit:
- Multiple Integrals in the Calculus of VariationsGrundlehren der mathematischen Wissenschaften, 1966
- COMMUTATORS OF SINGULAR INTEGRAL OPERATORSProceedings of the National Academy of Sciences, 1965
- On the differentiability of strong solutions of partial differential equationsCommunications on Pure and Applied Mathematics, 1964
- A generalization of the Heinz inequalityProceedings of the Japan Academy, Series A, Mathematical Sciences, 1961
- Local boundary conditions for dissipative symmetric linear differential operatorsCommunications on Pure and Applied Mathematics, 1960
- Singular Integrals on Compact ManifoldsAmerican Journal of Mathematics, 1959
- Symmetric positive linear differential equationsCommunications on Pure and Applied Mathematics, 1958
- Symmetric hyperbolic linear differential equationsCommunications on Pure and Applied Mathematics, 1954
- The Identity of Weak and Strong Extensions of Differential OperatorsTransactions of the American Mathematical Society, 1944