Unique solvability of nonlinear Fuchsian equations
type: Item
instance of: scholarly article
title: Unique solvability of nonlinear Fuchsian equations
zbMATH Open document ID: 0705.35025
author: Nour Said Madi
author: Masafumi Yoshino
published in: Proceedings of the Japan Academy. Series A
publication date: 1989-01-01T00:00:00Z
review text: The unique solvability of a nonlinear Fuchsian equation of the form \[ F(x,y,p_{\alpha \beta}(\partial)\pi x^{\alpha}D^{\beta}_ yu;m_{\alpha \beta}+| \beta | \leq 0)=0; \] is proved under generalized Poincaré conditions.
Mathematics Subject Classification ID: 35G30
zbMATH DE Number: 4157030
zbMATH Keywords: nonlinear Fuchsian equation
MaRDI profile type: Publication
full work available at URL: pjaa.65.123
OpenAlex ID: W2015340121
cites work: Cauchy problems with characteristic initial hypersurface
cites work: Q3778359
cites work: Local solutions for holomorphic Fuchsian operators in several variables
cites work: Q5605385
cites work: Une généralisation du problème de Goursat pour des systèmes d'équations intégro-différentielles holomorphes ou partiellement holomorphes
cites work: Convergence of formal solutions for Fuchs-Goursat equations
DOI: 10.3792/PJAA.65.123
description: scientific article; zbMATH DE number 4157030