Tauberian properties for monomial summability with applications to Pfaffian systems

被引：8

作者：

Carrillo, Sergio A. ^{[1
]}

Mozo-Fernandez, Jorge ^{[1
]}

机构：

[1] Univ Valladolid, Fac Ciencias, Dept Algebra Anal Matemat Geometria & Topol, Campus Miguel Delibes,Paseo Belen 7, E-47011 Valladolid, Spain

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 261卷 / 12期

关键词：

D O I：

10.1016/j.jde.2016.09.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we will show that monomial summability processes with respect to different monomials are not compatible, except in the (trivial) case of a convergent series. We will apply this fact to the study of solutions of Pfaffian systems with normal crossings, focusing in the implications of the complete integrability condition on these systems. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：7237 / 7255

页数：19

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