On k-summability of formal solutions for a class of partial differential operators with time dependent coefficients

被引：15

作者：

Ichinobe, Kunio ^{[1
]}

机构：

[1] Aichi Univ Educ, Dept Math Educ, Kariya, Aichi 4488542, Japan

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年 / 257卷 / 08期

关键词：

k-summability; Power series solution; Cauchy problem; Moment series; NEWTON POLYGONS; EQUATIONS; MULTISUMMABILITY;

D O I：

10.1016/j.jde.2014.06.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the k-summability of divergent formal solutions for the Cauchy problem of a certain class of linear partial differential operators with time dependent coefficients. The problem is reduced to a k-summability property of formal solutions for a linear similar ordinary differential equation associated with the Cauchy problem. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：3048 / 3070

页数：23

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