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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B60-04.pdf | 7.31 MB | Adobe PDF | 見る/開く |
| タイトル: | The Cauchy problem of Hartree and pure power type nonlinear Schrödinger equations (Harmonic Analysis and Nonlinear Partial Differential Equations) |
| 著者: | Kinoshita, Shinya |
| 著者名の別形: | キノシタ, シンヤ |
| キーワード: | 35Q55 42B37 Hartree equations well-posedness weighted Strichartz estimate angular regularity |
| 発行日: | Dec-2016 |
| 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: | B60 |
| 開始ページ: | 105 |
| 終了ページ: | 128 |
| 抄録: | This paper is concerned with the Cauchy problem of Hartree (HNLS) and pure power nonlinear Schr odinger equations (PNLS) with L2-subcritical regularity. It is known that the global well-posedness in the scale invariant homogeneous Sobolev space with radial symmetry or some angular regularity was established provided that the initial data have small norm. We generalize these results by new weighted Strichartz estimates. |
| 記述: | "Harmonic Analysis and Nonlinear Partial Differential Equations". July 6～8, 2015. edited by Hideo Kubo and Mitsuru Sugimoto. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2016 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/243616 |
| 出現コレクション: | B60 Harmonic Analysis and Nonlinear Partial Differential Equations |
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