An extension of Borel-Laplace methods and monomial summability

被引：7

作者：

Carrillo, Sergio A. ^{[1
]}

Mozo-Fernandez, Jorge ^{[2
]}

机构：

[1] Univ Sergio Arboleda, Escuela Ciencias Exactas & Ingn, Calle 74,14-14, Bogota, Colombia

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 457卷 / 01期

关键词：

Summability; Borel-Laplace; Partial differential equations;

D O I：

10.1016/j.jmaa.2017.08.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we will show that monomial summability can be characterized using Borel-Laplace like integral transformations depending of a parameter 0< s< 1. We will apply this result to prove 1-summability in a monomial of formal solutions of a family of partial differential equations. (c) 2017 Elsevier Inc. All rights reserved.

引用

页码：461 / 477

页数：17

共 8 条

[1] Multisummability of formal solutions of singular perturbation problems
Balser, W
Mozo-Fernández, J
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 183 (02) : 526 - 545
[2] Balser W., 2005, ANN FAC SCI TOULOUSE, V14, P593
[3] BALSER W., 2000, Formal power series and linear systems of meromorphic ordinary differential equations
[4] Canalis-Durand M, 2000, J REINE ANGEW MATH, V518, P95
[5] Monomial summability and doubly singular differential equations
Canalis-Durand, Mireille
Mozo-Fernandez, Jorge
Schafke, Reinhard
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 233 (02) : 485 - 511
[6] Carrillo S.A., 2016, THESIS
[7] Tauberian properties for monomial summability with applications to Pfaffian systems
Carrillo, Sergio A.
Mozo-Fernandez, Jorge
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 261 (12) : 7237 - 7255
[8] Sanz J, 2002, ASYMPTOTIC ANAL, V29, P115

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