Propagation of wave front sets of solutions of the Cauchy problem for a hyperbolic system in Gevrey classes
type: Item
instance of: scholarly article
title: Propagation of wave front sets of solutions of the Cauchy problem for a hyperbolic system in Gevrey classes
zbMATH Open document ID: 0582.35077
author: Yoshinori Morimoto
author: Kazuo Taniguchi
published in: Proceedings of the Japan Academy. Series A
publication date: 1985-01-01T00:00:00Z
review text: In an earlier paper [Publ. Res. Inst. Math. Sci. 20, 491-542 (1984; Zbl 0574.35082)] the second author constructed a fundamental solution for a system of hyperbolic equations assuming the constant multiplicities of characteristic roots of the system and investigated the propagation of wave front sets for the solution of the Cauchy problem. In the present paper, the authors reconsider the problem and investigate the propagation of wave front sets in Gevrey classes without the assumption of constant multiplicity of characteristic roots.
reviewed by: Eutiquio C. Young
Mathematics Subject Classification ID: 35L55
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35L30
zbMATH DE Number: 3931581
zbMATH Keywords: fundamental solution
zbMATH Keywords: Cauchy problem
zbMATH Keywords: propagation of wave front sets
zbMATH Keywords: Gevrey classes
MaRDI profile type: Publication
full work available at URL: pjaa.61.27
OpenAlex ID: W2086044838
cites work: Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients
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cites work: Propagation of wave front set in Gevrey class for an example of hyperbolic system
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cites work: Fourier integral operators in Gevrey class on \({\mathbb{R}}^ n\) and the fundamental solution for a hyperbolic operator
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cites work: Singularities of solutions of the caught problem for symmetric hyperbolic systems
DOI: 10.3792/PJAA.61.27
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description: scientific article; zbMATH DE number 3931581