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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B88-04.pdf | 111.53 kB | Adobe PDF | 見る/開く |
| タイトル: | Stability of standing waves for $L^2$-critical nonlinear Schrödinger equations with attractive inverse-power potential |
| 著者: | FUKAYA, Noriyoshi |
| キーワード: | 35Q55 35B35 |
| 発行日: | Dec-2021 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B88 |
| 開始ページ: | 45 |
| 終了ページ: | 54 |
| 抄録: | We consider stability of standing waves for L²-critical nonlinear Schrödinger equations with an attractive inverse-power potential. We prove that if the frequency of ground-state standing wave is sufficiently large, then it is orbitally stable. Our results are extensions of the results of Fukuizumi (2005), in which similar results were proven for L²-critical nonlinear Schrödinger equations with smooth potentials such as harmonic potential. |
| 著作権等: | © 2021 by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University. All rights reserved. Printed in Japan. |
| URI: | http://hdl.handle.net/2433/268944 |
| 出現コレクション: | B88 Harmonic Analysis and Nonlinear Partial Differential Equations |
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