Analytic Solutions of Moment Partial Differential Equations with Constant Coefficients

被引：23

作者：

Michalik, Slawomir ^{[1
]}

机构：

[1] Cardinal Stefan Wyszynski Univ, Coll Sci, Fac Math & Nat Sci, PL-01938 Warsaw, Poland

来源：

FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA | 2013年 / 56卷 / 01期

关键词：

Linear PDEs with constant coefficients; Formal power series; Moment functions; Moment PDEs; k-summability; Multisummability; POWER-SERIES SOLUTIONS; DIVERGENT SOLUTIONS; FORMAL SOLUTIONS; SUMMABILITY;

D O I：

10.1619/fesi.56.19

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Cauchy problem for linear moment partial differential equations with constant coefficients in two complex variables. We construct an integral representation of the solution of this problem and study its analyticity. As a result we derive a characterisation of multisummable formal solutions of the Cauchy problem.

引用

页码：19 / 50

页数：32

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