抄録
We consider Fourier ultra-hyperfunctions and characterize them as boundary values of smooth solutions of the heat equation. Namely we show that the convolution of the heat kernel and a Fourier ultra-hyperfunction is a smooth solution of the heat equation with some exponential growth condition and, conversely that such smooth solution can be represented by the convolution of the heat kernel and a Fourier ultra-hyperfunction.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 381-398 |
| ページ数 | 18 |
| ジャーナル | Tokyo Journal of Mathematics |
| 巻 | 25 |
| 号 | 2 |
| DOI | |
| 出版ステータス | Published - 2002 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 数学 (全般)