- Tytuł:
- Maillet type theorem for singular first order nonlinear partial differential equations of totally characteristic type. Part II
- Autorzy:
- Shirai, A.
- Powiązania:
- https://bibliotekanauki.pl/articles/255197.pdf
- Data publikacji:
- 2015
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
singular partial differential equations
totally characteristic type
nilpotent vector field
formal solution
Gevrey order
Maillet type theorem - Opis:
- 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.
- Źródło:
-
Opuscula Mathematica; 2015, 35, 5; 689-712
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł