Structure of Formal Solutions of Nonlinear First Order Singular Partial Differential Equations in Complex Domain

This paper is a continuation of our early paper [MS]. In this paper, we study the structure of formal power series solutions of a first order nonlinear partial differential equation which is defined and holomorphic in a neighborhood of the origin of several complex variables. Our main theorem (Theor...

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Veröffentlicht in:	Funkcialaj Ekvacioj 2005, Vol.48(1), pp.113-136
Hauptverfasser:	Miyake, Masatake, Shirai, Akira
Format:	Artikel
Sprache:	eng
Schlagworte:	Convergence Formal solution Gevrey index Maillet type theorem Singular equation
Online-Zugang:	Volltext
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