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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| s13662-023-03756-6.pdf | 1.79 MB | Adobe PDF | 見る/開く |
| タイトル: | Low regularity a priori estimate for KDNLS via the short-time Fourier restriction method |
| 著者: | Kishimoto, Nobu Tsutsumi, Yoshio   |
| 著者名の別形: | 岸本, 展 堤, 誉志雄 |
| キーワード: | Kinetic derivative nonlinear Schrodinger equation Short-time Fourier restriction method A priori estimate Well-posedness |
| 発行日: | 6-Feb-2023 |
| 出版者: | Springer Nature |
| 誌名: | Advances in Continuous and Discrete Models |
| 巻: | 2023 |
| 論文番号: | 10 |
| 抄録: | In this article, we consider the kinetic derivative nonlinear Schrödinger equation (KDNLS), which is a one-dimensional nonlinear Schrödinger equation with a cubic derivative nonlinear term containing the Hilbert transformation. For the Cauchy problem, both on the real line and on the circle, we apply the short-time Fourier restriction method to establish a priori estimate for small and smooth solutions in Sobolev spaces Hs with s>1/4 . |
| 著作権等: | © The Author(s) 2023. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. |
| URI: | http://hdl.handle.net/2433/281914 |
| DOI(出版社版): | 10.1186/s13662-023-03756-6 |
| 出現コレクション: | 学術雑誌掲載論文等 |
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