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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B82-10.pdf | 85.46 kB | Adobe PDF | 見る/開く |
| タイトル: | A trial to construct specific self-similar solutions to non-linear wave equations (Regularity and Asymptotic Analysis for Critical Cases of Partial Differential Equations) |
| 著者: | Sugimoto, Mitsuru |
| 著者名の別形: | スギモト, ミツル |
| キーワード: | 35L05 35L71 self-similar solution non-linear wave equation |
| 発行日: | Jun-2020 |
| 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: | B82 |
| 開始ページ: | 177 |
| 終了ページ: | 182 |
| 抄録: | An attempt to construct self-similar solutions to nonlinear wave equations □u = |u|p is explained. The existence of self-similar solutions has been already established by Pecher [8, 9], Kato-Ozawa [5, 6], etc, based on the standard fixed point theorem. In this note, we will discuss it by a constructive method using the theory of hypergeometric differential equations. |
| 記述: | Regularity and Asymptotic Analysis for Critical Cases of Partial Differential Equations. May 29-31, 2019. edited by Takayoshi Ogawa, Keiichi Kato, Mishio Kawashita and Masashi Misawa. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2020 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/260683 |
| 出現コレクション: | B82 Regularity and Asymptotic Analysis for Critical Cases of Partial Differential Equations |
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