Counterexample to the 1-Summability of a Divergent Formal Solution to Some Linear Partial Differential Equations
2018 年 61 巻 2 号 p. 219-227
詳細
2018 年 61 巻 2 号 p. 219-227
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.
