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dc.contributor.author | Kishimoto, Nobu | en |
dc.contributor.author | Tsutsumi, Yoshio | en |
dc.contributor.alternative | 岸本, 展 | ja |
dc.contributor.alternative | 堤, 誉志雄 | ja |
dc.date.accessioned | 2023-04-28T07:26:33Z | - |
dc.date.available | 2023-04-28T07:26:33Z | - |
dc.date.issued | 2023-02-06 | - |
dc.identifier.uri | http://hdl.handle.net/2433/281914 | - |
dc.description.abstract | 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 . | en |
dc.language.iso | eng | - |
dc.publisher | Springer Nature | en |
dc.rights | © The Author(s) 2023. | en |
dc.rights | 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. | en |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | - |
dc.subject | Kinetic derivative nonlinear Schrodinger equation | en |
dc.subject | Short-time Fourier restriction method | en |
dc.subject | A priori estimate | en |
dc.subject | Well-posedness | en |
dc.title | Low regularity a priori estimate for KDNLS via the short-time Fourier restriction method | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.jtitle | Advances in Continuous and Discrete Models | en |
dc.identifier.volume | 2023 | - |
dc.relation.doi | 10.1186/s13662-023-03756-6 | - |
dc.textversion | publisher | - |
dc.identifier.artnum | 10 | - |
dcterms.accessRights | open access | - |
datacite.awardNumber | 16K17626 | - |
datacite.awardNumber | 20K03678 | - |
datacite.awardNumber | 17H02853 | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16K17626/ | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20K03678/ | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17H02853/ | - |
dc.identifier.eissn | 2731-4235 | - |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.awardTitle | 非線形分散型波動方程式における共鳴相互作用の構造と解の挙動・特異性の研究 | ja |
jpcoar.awardTitle | 分散性を持つ非線形波動における共鳴相互作用の役割の究明 | ja |
jpcoar.awardTitle | 非線形波動・分散型方程式の凝縮現象の解析 | ja |
出現コレクション: | 学術雑誌掲載論文等 |
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