On ultra wave front sets and Fourier integral operators of infinite order
type: Item
instance of: scholarly article
title: On ultra wave front sets and Fourier integral operators of infinite order
zbMATH Open document ID: 0729.35152
author: Kenzo Shinkai
author: Kazuo Taniguchi
published in: Osaka Journal of Mathematics
publication date: 1990-01-01T00:00:00Z
review text: The authors define pseudodifferential and Fourier integral operators acting on ultradistributions. They give a propagation theorem (in the framework of ultra wave front sets) for Fourier integral operators of infinite order. As a consequence they obtain propagation of ultra wave front sets for solutions of Cauchy problems for some hyperbolic operators with variable multiplicity.
Mathematics Subject Classification ID: 35S30
Mathematics Subject Classification ID: 35R50
Mathematics Subject Classification ID: 35L80
zbMATH DE Number: 4205026
zbMATH Keywords: pseudodifferential operators
zbMATH Keywords: Fourier integral operators of infinite order
zbMATH Keywords: propagation of ultra wave front sets
zbMATH Keywords: Cauchy problems
zbMATH Keywords: hyperbolic operators
reviewed by: Paul Godin
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4205026