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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B65-06.pdf | 5.14 MB | Adobe PDF | 見る/開く |
| タイトル: | Remark on the analytic smoothing effect for the Hartree equation (Harmonic Analysis and Nonlinear Partial Differential Equations) |
| 著者: | Sasaki, Hironobu |
| 著者名の別形: | ササキ, ヒロノブ |
| キーワード: | 35Q55 35B65 35G25 Hartree equation Analytic smoothing effect short range potential |
| 発行日: | May-2017 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B65 |
| 開始ページ: | 91 |
| 終了ページ: | 107 |
| 抄録: | We give a review of [19], in which the author studied analytic solutions to the Cauchy problem for the d-dimensional Hartree equation under the assumption that the interaction potential V is in the weak Ld/2-space. Furthermore, we show some extended results. More precisely, we first give various smoothing effects for the equation. Next, an estimate for the radius of convergence of exp(-i｜x｜2/(4t))u(t, x) is given. |
| 記述: | "Harmonic Analysis and Nonlinear Partial Differential Equations". July 4～6, 2016. edited by Hideo Kubo and Hideo Takaoka. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2017 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/243683 |
| 出現コレクション: | B65 Harmonic Analysis and Nonlinear Partial Differential Equations |
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