抜粋
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.
| 元の言語 | English |
|---|---|
| ページ（範囲） | 511-524 |
| ページ数 | 14 |
| ジャーナル | Mathematische Zeitschrift |
| 巻 | 261 |
| 発行部数 | 3 |
| DOI | |
| 出版物ステータス | Published - 2009 3 1 |
| 外部発表 | Yes |
ASJC Scopus subject areas
- Mathematics(all)
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これを引用
Ozawa, T., & Yamauchi, K. (2009). Remarks on analytic smoothing effect for the Schrödinger equation. Mathematische Zeitschrift, 261(3), 511-524. https://doi.org/10.1007/s00209-008-0334-5