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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B95-07.pdf | 135.95 kB | Adobe PDF | 見る/開く |
| タイトル: | Remark on blow-up of the threshold solutions to the nonlinear Schrödinger equation with the repulsive Dirac delta potential (Harmonic Analysis and Nonlinear Partial Differential Equations) |
| 著者: | Inui, Takahisa |
| キーワード: | 35Q55 nonlinear Schrödinger equation delta potential global dynamics threshold blow-up |
| 発行日: | Jul-2024 |
| 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: | B95 |
| 開始ページ: | 111 |
| 終了ページ: | 124 |
| 抄録: | We consider the focusing 𝐿²-supercritical nonlinear Schrödinger equation with the repulsive Dirac delta potential. The global dynamics below the ground state standing waves was obtained by Ikeda and the author [18]. Recently, Ardila and the author [3] gave a sufficient condition for the threshold solutions to scatter. In the present paper, we are interested in a sufficient condition for the threshold solutions to blow up. |
| 著作権等: | © 2024 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/2433/293092 |
| 出現コレクション: | B95 Harmonic Analysis and Nonlinear Partial Differential Equations |
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