Funkcialaj Ekvacioj
Print ISSN : 0532-8721
Counterexample to the 1-Summability of a Divergent Formal Solution to Some Linear Partial Differential Equations
Kenji Kurogi
Author information
JOURNAL FREE ACCESS

2018 Volume 61 Issue 2 Pages 219-227

Details
Abstract
In 2013, Tahara-Yamazawa showed multisummability of formal solutions of some linear partial differential equation under a certain condition on the Newton polygon. In this paper, we give an example such that a divergent formal power series solution is not multisummable when the condition on the Newton polygon by Tahara-Yamazawa does not hold.
Content from these authors
© 2018 by the Division of Functional Equations, The Mathematical Society of Japan
Previous article Next article
feedback
Top