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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| imrn_rnab079.pdf | 527.53 kB | Adobe PDF | 見る/開く |
| タイトル: | Unconditional uniqueness for the periodic modified Benjamin–Ono equation by normal form approach |
| 著者: | Kishimoto, Nobu    https://orcid.org/0000-0003-2521-9976 (unconfirmed) |
| 著者名の別形: | 岸本, 展 |
| 発行日: | Aug-2022 |
| 出版者: | Oxford University Press (OUP) |
| 誌名: | International Mathematics Research Notices |
| 巻: | 2022 |
| 号: | 16 |
| 開始ページ: | 12180 |
| 終了ページ: | 12219 |
| 抄録: | We show that the solution (in the sense of distribution) to the Cauchy problem with the periodic boundary condition associated with the modified Benjamin–Ono equation is unique in L∞t(Hs(T)) for s>1/2. The proof is based on the analysis of a normal form equation obtained by infinitely many reduction steps using integration by parts in time after a suitable gauge transform. |
| 著作権等: | This is a pre-copyedited, author-produced version of an article accepted for publication in International Mathematics Research Notices following peer review. The version of record [Nobu Kishimoto, Unconditional uniqueness for the periodic modified Benjamin–Ono equation by normal form approach, International Mathematics Research Notices, Volume 2022, Issue 16, August 2022, Pages 12180–12219] is available online at: https://doi.org/10.1093/imrn/rnab079. The full-text file will be made open to the public on 19 April 2022 in accordance with publisher's 'Terms and Conditions for Self-Archiving'. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
| URI: | http://hdl.handle.net/2433/275858 |
| DOI(出版社版): | 10.1093/imrn/rnab079 |
| 出現コレクション: | 学術雑誌掲載論文等 |
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