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ファイル | 記述 | サイズ | フォーマット | |
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B74-02.pdf | 3.83 MB | Adobe PDF | 見る/開く |
タイトル: | Sonin's argument, the shape of solitons, and the most stably singular matrix (Harmonic Analysis and Nonlinear Partial Differential Equations) |
著者: | Killip, Rowan Visan, Monica |
キーワード: | 35C08 47B80 |
発行日: | Apr-2019 |
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: | B74 |
開始ページ: | 23 |
終了ページ: | 32 |
抄録: | We present two adaptations of an argument of Sonin, which is known to be a powerful tool for obtaining both qualitative and quantitative information about special functions; see [12]. Our particular applications are as follows: (i) We give a rigorous formulation and proof of the following assertion about focusing NLS in any dimension: The spatial envelope of aspherically symmetric soliton in arepulsive potential is a non‐increasing function of the radius. (ii) Driven by the question of determining the most stably singular matrix, we determine the location of the maximal eigenvalue density of an ncross n GUE matrix. Strikingly, in even dimensions, this maximum is not at zero. |
記述: | "Harmonic Analysis and Nonlinear Partial Differential Equations". June 25-27, 2018. edited by Hideo Takaoka and Satoshi Masaki. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
著作権等: | © 2019 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
URI: | http://hdl.handle.net/2433/244759 |
出現コレクション: | B74 Harmonic Analysis and Nonlinear Partial Differential Equations |
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