Construction of the solutions of microhyperbolic pseudodifferential equations
type: Item
instance of: scholarly article
title: Construction of the solutions of microhyperbolic pseudodifferential equations
zbMATH Open document ID: 0689.35101
author: Keisuke Uchikoshi
published in: Journal of the Mathematical Society of Japan
publication date: 1988-01-01T00:00:00Z
review text: \textit{M. Kashiwara} and \textit{T. Kawai} [J. Math. Soc. Japan 27, 359-404 (1975; Zbl 0305.35066)] introduced the concept of microhyperbolicity and microfunction solutions of microhyperbolic pseudodifferential equations using a continuation theorem of holomorphic functions in complex domains. The aim of this paper is to construct directly an explicit solution of microhyperbolic pseudodifferential equations using a different method.
Mathematics Subject Classification ID: 35S05
Mathematics Subject Classification ID: 35C05
zbMATH DE Number: 4129354
zbMATH Keywords: microhyperbolicity
zbMATH Keywords: microfunction
zbMATH Keywords: explicit solution
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/04020289
OpenAlex ID: W1997969425
DOI: 10.2969/JMSJ/04020289
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description: scientific article; zbMATH DE number 4129354