WEKO3
アイテム
Stability of a stationary solution for the Lugiato-Lefever equation
http://hdl.handle.net/10097/00106152
http://hdl.handle.net/10097/001061520395c977-50d0-4474-888d-c1d883835b51
| Item type | [ELS]紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2017-04-07 | |||||
| タイトル | ||||||
| タイトル | Stability of a stationary solution for the Lugiato-Lefever equation | |||||
| 言語 | en | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | departmental bulletin paper | |||||
| アクセス権 | ||||||
| アクセス権 | metadata only access | |||||
| アクセス権URI | http://purl.org/coar/access_right/c_14cb | |||||
| 雑誌書誌ID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA00863953 | |||||
| 論文名よみ | ||||||
| タイトル | Stability of a stationary solution for the Lugiato-Lefever equation | |||||
| 著者 |
Miyaji, Tomoyuki
× Miyaji, Tomoyuki× Ohnishi, Isamu× Tsutsumi, Yoshio |
|||||
| 著者所属(英) | ||||||
| 言語 | en | |||||
| 値 | Research Institute for Mathematical Sciences, Kyoto University | |||||
| 著者所属(英) | ||||||
| 言語 | en | |||||
| 値 | Department of Mathematical and Life Sciences, Hiroshima University | |||||
| 著者所属(英) | ||||||
| 言語 | en | |||||
| 値 | Department of Mathematics, Kyoto University | |||||
| 記事種別(英) | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | Article | |||||
| 抄録(英) | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | We study the stability of a stationary solution for the Lugiato-Lefever equation with the periodic boundary condition in one space dimension, which is a damped and driven nonlinear Schrodinger equation introduced to model the optical cavity. In this paper, we prove the Strichartz estimates for the linear damped Schrodinger equation with potential and external forcing and investigate the stability of certain stationary solutions under the initial perturbation within the framework of $L^2$. | |||||
| 書誌情報 |
東北數學雜誌. Second series en : Tohoku mathematical journal. Second series 巻 63, 号 4, p. 651-663, 発行日 2011-12-01 |
|||||
| URL | ||||||
| 識別子 | J-STAGE | https://www.jstage.jst.go.jp/article/tmj/63/4/63_651/_article/-char/ja | |||||
| 識別子タイプ | URI | |||||
| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 00408735 | |||||
