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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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