Maillet type theorem for singular first order nonlinear partial differential equations of totally characteristic type. Part II

• Autorzy: Shirai A.

Identyfikatory

DOI

http://dx.doi.Org/10.7494/OpMath.2015.35.5.689

• Języki publikacji: EN

Abstrakty

EN

In this paper, we study the following nonlinear first order partial differential equation: [formula] The purpose of this paper is to determine the estimate of Gevrey order under the condition that the equation is singular of a totally characteristic type. The Gevrey order is indicated by the rate of divergence of a formal power series. This paper is a continuation of the previous papers [Convergence of formal solutions of singular first order nonlinear partial differential equations of totally characteristic type, Funkcial. Ekvac. 45 (2002), 187-208] and [Maillet type theorem for singular first order nonlinear partial differential equations of totally characteristic type, Surikaiseki Kenkyujo Kokyuroku, Kyoto University 1431 (2005), 94-106]. Especially the last-mentioned paper is regarded as part I of this paper.

Słowa kluczowe

EN

singular partial differential equations; totally characteristic type; nilpotent vector field; formal solution; Gevrey order; Maillet type theorem

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2015
• Tom: Vol. 35, no. 5
• Strony: 689--712
• Opis fizyczny: Bibliogr. 19 poz,

Twórcy

autor

Shirai A.

• Sugiyama Jogakuen University, School of Education Department of Child Development 17-3 Hoshigaoka Motomachi Chikusa, Nagoya, 464-8662, Japan

Bibliografia

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