抄録
We study analytic smoothing effect of solutions to the Schrödinger equation with Cauchy data decaying exponentially at infinity. The domain of analyticity in the space variables of solutions is described under weight conditions on the data in terms of the corresponding supporting function. The domain of analyticity in the time variable is characterized by means of weight conditions of Gaussian type on the data. A generalization of various isometrical identities related to the analytic smoothing effect is introduced.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 511-524 |
| ページ数 | 14 |
| ジャーナル | Mathematische Zeitschrift |
| 巻 | 261 |
| 号 | 3 |
| DOI | |
| 出版ステータス | Published - 2009 3月 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 数学 (全般)