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Variational problems for the system of nonlinear Schrödinger equations with derivative nonlinearities
http://hdl.handle.net/10458/0002001034
http://hdl.handle.net/10458/00020010349151c2dc-054f-479d-8077-da8dc63a398d
| 名前 / ファイル | ライセンス | アクション |
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article (502 KB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||||||
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| 公開日 | 2025-03-25 | |||||||||
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| タイトル | Variational problems for the system of nonlinear Schrödinger equations with derivative nonlinearities | |||||||||
| 言語 | en | |||||||||
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| 言語 | eng | |||||||||
| 資源タイプ | ||||||||||
| 資源タイプ | journal article | |||||||||
| アクセス権 | ||||||||||
| 著者 |
平山, 浩之
× 平山, 浩之× Ikeda, Masahiro
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| 抄録 | ||||||||||
| 内容記述タイプ | Abstract | |||||||||
| 内容記述 | We consider the Cauchy problem of the system of nonlinear Schrödinger equations with derivative nonlinearlity. This system was introduced by Colin and Colin (Differ Int Equ 17:297–330, 2004) as a model of laser-plasma interactions. We study existence of ground state solutions and the global well-posedness of this system by using the variational methods. We also consider the stability of traveling waves for this system. These problems are proposed by Colin–Colin as the open problems. We give a subset of the ground-states set which satisfies the condition of stability. In particular, we prove the stability of the set of traveling waves with small speed for 1-dimension. | |||||||||
| 言語 | en | |||||||||
| 内容記述 | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | Citation: Hiroyuki Hirayama, Masahiro Ikeda, Variational problems for the system of nonlinear Schrödinger equations with derivative nonlinearities, Calculus of Variations and Partial Differential Equations, 63(7), 2024-07-10, https://doi.org/10.1007/s00526-024-02782-w | |||||||||
| 言語 | en | |||||||||
| bibliographic_information |
en : Calculus of Variations and Partial Differential Equations 巻 63, 号 7, 発行日 2024-07-10 |
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| 出版者 | Springer Science and Business Media LLC | |||||||||
| 言語 | en | |||||||||
| ISSN | ||||||||||
| 収録物識別子タイプ | PISSN | |||||||||
| 収録物識別子 | 0944-2669 | |||||||||
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| 収録物識別子タイプ | EISSN | |||||||||
| 収録物識別子 | 1432-0835 | |||||||||
| item_10001_relation_14 | ||||||||||
| 関連タイプ | isVersionOf | |||||||||
| 識別子タイプ | DOI | |||||||||
| 関連識別子 | https://doi.org/10.1007/s00526-024-02782-w | |||||||||
| 出版タイプ | ||||||||||
| 出版タイプ | VoR | |||||||||
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Cite as
平山, 浩之, Ikeda, Masahiro, 2024, Variational problems for the system of nonlinear Schrödinger equations with derivative nonlinearities: Springer Science and Business Media LLC.
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