抄録
In this paper we consider formal solutions of the following form for some linear partial differential equations: û(t, x) = ∑i≥1 ∑k≤mi ui, k(x)ti (log t)k. Under the same conditions as those in Ōuchi [8], we show multisummability of the formal solutions û(t, x). It is our key of proofs to find a solution of exponential growth for convolution equations with polynomial coefficients with respect to y via the change of variable log t = y.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 371-406 |
| ページ数 | 36 |
| ジャーナル | Funkcialaj Ekvacioj |
| 巻 | 60 |
| 号 | 3 |
| DOI | |
| 出版ステータス | Published - 2017 1月 1 |
ASJC Scopus subject areas
- 分析
- 代数と数論
- 幾何学とトポロジー