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ファイル | 記述 | サイズ | フォーマット | |
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B67-03.pdf | 4.48 MB | Adobe PDF | 見る/開く |
タイトル: | Quantization condition for multi-barrier resonances (Workshop on the Boltzmann Equation, Microlocal Analysis and Related Topics) |
著者: | Bony, Jean-Francois Fujiié, Setsuro Ramond, Thierry Zerzeri, Maher |
著者名の別形: | フジイエ, セツロウ |
キーワード: | 35B34 35P20 37C29 37C25 35C20 81Q20 35S10 35J10 Resonances semiclassical asymptotics microlocal analysis homoclinic and heteroclinic trajectories Schrödinger operators |
発行日: | Oct-2017 |
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: | B67 |
開始ページ: | 43 |
終了ページ: | 53 |
抄録: | We give the quantization condition and the semiclassical distribution of resonances of the Schrödinger operator in a general setting where the trapped set of the underlying classical mechanics makes a finite graph consisting of hyperbolic fixed points and associated homoclinic and heteroclinic trajectories. This is one of the results in our paper [3]. We give some examples and a rough sketch of the proof. |
記述: | "Workshop on the Boltzmann Equation, Microlocal Analysis and Related Topics". May 27~29, 2016. edited by Hisashi Okamoto, Yoshio Tsutsumi, Naomasa Ueki, Tadayoshi Adachi and Senjo Shimizu. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
著作権等: | © 2017 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
URI: | http://hdl.handle.net/2433/243704 |
出現コレクション: | B67 Workshop on the Boltzmann Equation, Microlocal Analysis and Related Topics |
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