Propagation of singularities in the ramified Cauchy problem for a class of operators with non-involutive multiple characteristics
type: Item
instance of: scholarly article
title: Propagation of singularities in the ramified Cauchy problem for a class of operators with non-involutive multiple characteristics
zbMATH Open document ID: 0956.35005
author: Katasuju Igari
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 2001-03-07T00:00:00Z
review text: The author considers analytic continuation of holomorphic solutions in the ramified Cauchy problem and in investigates particular the propagation of singularities for \(P(z,D)\), a linear partial differential operator of order 2 which is a generalization of the operator \(z_1D^2_1- z_1D^2_n+ \sum^n_{j= 1}b_jD_j+ c\) of Fuchs type in the sense of Baouendi-Goulaouic. He proved that the solution of the ramified Cauchy problem for \(P(z,D)\) has removable singularities under some conditions.
Mathematics Subject Classification ID: 35A20
Mathematics Subject Classification ID: 35B60
zbMATH DE Number: 1439848
zbMATH Keywords: removable singularities
reviewed by: Kunihiko Kajitani
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195143953
OpenAlex ID: W1967513394
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DOI: 10.2977/PRIMS/1195143953
description: scientific article; zbMATH DE number 1439848