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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Abstract evolution equations and the mixed problem for symmetric hyperbolic systems


Author: Frank J. Massey
Journal: Trans. Amer. Math. Soc. 168 (1972), 165-188
MSC: Primary 35L50
DOI: https://doi.org/10.1090/S0002-9947-1972-0298231-4
MathSciNet review: 0298231
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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.


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DOI: https://doi.org/10.1090/S0002-9947-1972-0298231-4
Keywords: Symmetric hyperbolic systems, evolution equations, mixed problem, $ {C_0}$-semigroups, Cauchy problem
Article copyright: © Copyright 1972 American Mathematical Society