Maillet type theorem for nonlinear partial differential equations and Newton polygons

スポンサーリンク

概要

• 論文の詳細を見る

• It is known that the formal solution to an equation of non-Kowalevski type is divergent in general. To this divergent solution it is important to evaluate the rate of divergence or the Gevrey order, and such a result is often called a Maillet type theorem. In this paper the Maillet type theorem is proved for divergent solutions to singular partial differential equations of non-Kowalevski type, and it is shown that the Gevrey order is characterized by a Newton polygon associated with an equation. In order to prove our results the majorant method is effectively employed.

• 社団法人 日本数学会の論文

著者

• Shirai Akira

  Graduate School Of Mathematics Nagoya University

関連論文

• A Maillet Type Theorem for First Order Singular Nonlinear Partial Differential Equations
• Maillet type theorem for nonlinear partial differential equations and Newton polygons

スポンサーリンク