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On the Cauchy problem for second order strictly hyperbolic equations with non–regular coefficients

✍ Scribed by Fumihiko Hirosawa

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
216 KB
Volume
256
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In this paper we shall consider some necessary and sufficient conditions for well–posedness of second order hyperbolic equations with non–regular coefficients with respect to time. We will derive some optimal regularities for well–posedness from the intensity of singularity to the coefficients by WKB representation of the solution and some counter examples which are constructed by using ideas of Floquet theory.

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