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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B70-06.pdf | 8.39 MB | Adobe PDF | 見る/開く |
| タイトル: | Unconditional well-posedness of fifth order KdV type equations with periodic boundary condition (Harmonic Analysis and Nonlinear Partial Differential Equations) |
| 著者: | Kato, Takamori |
| 著者名の別形: | カトウ, タカモリ |
| キーワード: | 35Q53 37K10 35A01 35B65 KdV hierarchy Fifth order Normal form Well-posedness Cauchy problem Low regularity Unconditional |
| 発行日: | Apr-2018 |
| 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: | B70 |
| 開始ページ: | 105 |
| 終了ページ: | 129 |
| 抄録: | This paper is announcement of the result obtained in [8] by Tsugawa and the author. We study the well-posedness of the Cauchy problem of the fifth order KdV type equations on T. We show the local well-posedness and unconditional uniqueness in Hs(T) for s ≥ 3/2. The main idea of the proof is using the conserved quantities to cancel the resonant parts with a loss of derivatives and applying the normal form reduction to the non-resonant parts to recover derivatives. |
| 記述: | "Harmonic Analysis and Nonlinear Partial Differential Equations". July 3～5, 2017. edited by Hideo Takaoka and Hideo Kubo. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2018 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/243753 |
| 出現コレクション: | B70 Harmonic Analysis and Nonlinear Partial Differential Equations |
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