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Precise propagation of singularities for a hyperbolic system with characteristics of variable multiplicity

Published online by Cambridge University Press:  22 January 2016

Chisato Iwasaki  and
Yoshinori Morimoto
Chisato Iwasaki
Affiliation:
Department of Mathematics Osaka University Toyonaka, Osaka 560, Japan
Yoshinori Morimoto
Affiliation:
Department of Engineering Mathematics, Nagoya University Chikusa-ku, Nagoya 464, Japan
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In this paper we consider the Cauchy problem for a hyperbolic system with characteristics of variable multiplicity and construct a certain solution whose wave front set propagates precisely along the so-called “broken null bicharacteristic flow”, in other words, along the admissible trajectory if we use the terminology of [6].

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 101 , March 1986 , pp. 111 - 130
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1986

References

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