ON THE BOREL SUMMABILITY OF FORMAL SOLUTIONS FOR SOME FIRST ORDER SINGULAR PDES WITH IRREGULAR SINGULARITY

被引：0
作者：
陈化
张志雄
机构：
[1] School of Mathematics and Statistics Wuhan University
[2] School of Mathematics and Statistics Wuhan University Wuhan
[3] China
[4] Wuhan
[5] China Institute of Systems Science
[6] Chinese Academy of Sciences
[7] Beijing
来源：
Acta Mathematica Scientia | 2005年 / 03期
关键词：
Singular PDEs; formal solutions; Borel summability;
D O I：
暂无
中图分类号：
O175.1 [常微分方程];
学科分类号：
070104 ;
摘要：
<正>In this paper the authors consider the summability of formal solutions for some first order singular PDEs with irregular singularity. They prove that in this case the formal solutions will be divergent, but except a enumerable directions, the formal solutions are Borel summable.
引用
收藏
页码：419 / 426
页数：8
相关论文
共 3 条
[1]  
Chen H,Luo Z,Tahara H.Formal solutions of nonlinear first order totally characteristic type PDE with irregular singularity. Ann Inst Fourier . 2001
[2]  
Lutz D,Miyafke M.On the Borel summability of divergent solutions of the heat equation. Nagoya Mathematical Journal . 1999
[3]  
Ramis J P.Theoremes d’indices Gevrey pour les equations differentielles ordinaires. Memoirs of the American Mathematical Society . 1984
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