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ファイル | 記述 | サイズ | フォーマット | |
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B63-09.pdf | 9.57 MB | Adobe PDF | 見る/開く |
タイトル: | Existence and uniqueness of a nonlinear term realizing a prescribed blow-up time (Regularity and Singularity for Partial Differential Equations with Conservation Laws) |
著者: | Kamimura, Yutaka Usami, Hiroyuki |
著者名の別形: | カミムラ, ユタカ ウサミ, ヒロユキ |
キーワード: | 34A55 45G05 Inverse Problem Nonlinear integral equation Blow-up time |
発行日: | May-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: | B63 |
開始ページ: | 127 |
終了ページ: | 151 |
抄録: | This article is a survey of recent papers ([13, 14]) by the authors on an inverse problem of determining a super-linear, nonlinear term of a simple differential equation from information on blow-up time of solutions to the equation. We expand local and global theory to find its nonlinear term realizing a prescribed blow-up time that is a function of an initial data of the differential equation, as well as, to answer the uniqueness question whether the nonlinear term is unique. Some unpublished results, useful examples, and an overview of main ideas for the proof are also contained. |
記述: | "Regularity and Singularity for Partial Differential Equations with Conservation Laws". June 3~5, 2015. edited by Keiichi Kato, Mishio Kawashita, Masashi Misawa and Takayoshi Ogawa. 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/2433/243653 |
出現コレクション: | B63 Regularity and Singularity for Partial Differential Equations with Conservation Laws |
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