Q1107892
type: Item
instance of: scholarly article
title: Propagation de l'analycité le long d'une bicaractéristique réelle pour un opérateur totalement caractéristique. (Propagation of analyticity along a real bicharacteristic for a totally characteristic operator)
zbMATH Open document ID: 0653.58039
DOI: 10.1007/BF01773943
author: Michel Rouleux
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1987-01-01T00:00:00Z
review text: The author studies the propagation of analytic (Gevrey) singularities of the solution, in the class of continuable distributions, of a totally characteristic differentiable equation. Such a propagation occurs along the bicharacteristics in the compressed cotangent fibre bundle. The compressed analytic wave front set is characterized by means of boundary values of holomorphic functions which satisfy certain quasitempered growth conditions.
Mathematics Subject Classification ID: 58J47
Mathematics Subject Classification ID: 35A27
Mathematics Subject Classification ID: 35S05
Mathematics Subject Classification ID: 35B60
Mathematics Subject Classification ID: 58J15
Mathematics Subject Classification ID: 58J40
zbMATH DE Number: 4066002
zbMATH Keywords: analytic (Gevrey) singularities
zbMATH Keywords: bicharacteristics
zbMATH Keywords: analytic wave front set
zbMATH Keywords: boundary values of holomorphic functions
reviewed by: Rémi Vaillancourt
MaRDI profile type: Publication
cites work: Regularite gevrey pour le probleme de dirichlet dans des domaines a singularites coniques
cites work: Propagation of analyticity along real bicharacteristics
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full work available at URL: https://doi.org/10.1007/bf01773943
OpenAlex ID: W2054320697
label: Propagation de l'analycité le long d'une bicaractéristique réelle pour un opérateur totalement caractéristique. (Propagation of analyticity along a real bicharacteristic for a totally characteristic operator)
description: scientific article; zbMATH DE number 4066002