On sufficient conditions for convergence of formal solutions
type: Item
instance of: scholarly article
title: On sufficient conditions for convergence of formal solutions
zbMATH Open document ID: 0599.35007
author: Masafumi Yoshino
published in: Proceedings of the Japan Academy. Series A
publication date: 1985-01-01T00:00:00Z
review text: L'auteur donne des conditions suffisantes de convergence de solutions formelles d'équations aux dérivées partielles dans \(C^ 2\) obtenues comme polynômes à coefficient analytiques des champs de vecteurs \((x_ 1 \partial_{x_ 1})\) et \((x_ 2 \partial_{x_ 2})\) vérifiant des conditions du type de Fuchs. Il généralise ainsi des résultats de \textit{M. Kashiwara, T. Kawai} et \textit{J. Sjöstrand} [Ark. Mat. 17, 83-91 (1979; Zbl 0411.35003)].
reviewed by: Bernard Helffer
Mathematics Subject Classification ID: 35A20
zbMATH DE Number: 3966808
zbMATH Keywords: convergence of formal solutions
zbMATH Keywords: diophantine function
MaRDI profile type: Publication
full work available at URL: pjaa.61.259
OpenAlex ID: W2048489237
cites work: Une fonction de la théorie des nombres
cites work: On a class of linear partial differential equations whose formal solutions always converge
DOI: 10.3792/PJAA.61.259
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description: scientific article; zbMATH DE number 3966808