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このアイテムのファイル:
| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B88-07.pdf | 150.74 kB | Adobe PDF | 見る/開く |
| タイトル: | Gevrey well-posedness and ill-posedness of third-order nonlinear Schrödinger equations on the torus |
| 著者: | KISHIMOTO, Nobu    https://orcid.org/0000-0003-2521-9976 (unconfirmed) |
| キーワード: | 35Q53 35Q55 35A01 third-order nonlinear Schrödinger equation well-posedness smoothing effect non-existence Gevrey class |
| 発行日: | Dec-2021 |
| 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: | B88 |
| 開始ページ: | 105 |
| 終了ページ: | 118 |
| 抄録: | Tsutsumi and the author recently proved unique existence of real analytic solutions and non-existence of Gevrey solutions for certain nonlinear dispersive equations posed on the torus. In this note, we revisit these results and prove them in a slightly more general setting. |
| 著作権等: | © 2021 by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University. All rights reserved. Printed in Japan. |
| URI: | http://hdl.handle.net/2433/268947 |
| 出現コレクション: | B88 Harmonic Analysis and Nonlinear Partial Differential Equations |
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