Microhyperbolic operators in Gevrey classes
type: Item
instance of: scholarly article
title: Microhyperbolic operators in Gevrey classes
zbMATH Open document ID: 0705.35158
author: Kunihiko Kajitani
author: Seiichiro Wakabayashi
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1989-01-01T00:00:00Z
review text: This paper considers microhyperbolic operators in Gevrey classes and proves the microlocal well-posedness of the microlocal Cauchy problem. It also establishes theorems on the propagation of singularities for microhyperbolic operators. The methods show one how to obtain microlocal results (e.g. well-posedness and a microlocal version of Holmgren's uniqueness theorem) from the methods used to prove well-posedness of the Cauchy problem. Theorems on the propagation of singularities are consequences of a microlocal Holmgren theorem using generalised Hamiltonian flows.
Mathematics Subject Classification ID: 35S05
Mathematics Subject Classification ID: 58J47
zbMATH DE Number: 4157158
zbMATH Keywords: microhyperbolic operators
zbMATH Keywords: Gevrey classes
zbMATH Keywords: microlocal well-posedness
zbMATH Keywords: microlocal Cauchy problem
zbMATH Keywords: Holmgren's uniqueness theorem
zbMATH Keywords: propagation of singularities
reviewed by: B. D. Sleeman
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195173608
OpenAlex ID: W1979832720
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DOI: 10.2977/PRIMS/1195173608
description: scientific article; zbMATH DE number 4157158