ダウンロード数: 59
このアイテムのファイル:
ファイル | 記述 | サイズ | フォーマット | |
---|---|---|---|---|
2174-08.pdf | 9.34 MB | Adobe PDF | 見る/開く |
タイトル: | Spectral analysis on the elastic Neumann-Poincaré operator (Analysis of inverse problems through partial differential equations and related topics) |
著者: | Kawagoe, Daisuke |
著者名の別形: | 川越, 大輔 |
キーワード: | 35J47 (primary) 35P05 (secondary) Neumann-Poincaré operator Lamé system polynomial compactness essential spectrum corner singularity |
発行日: | Feb-2021 |
出版者: | 京都大学数理解析研究所 |
誌名: | 数理解析研究所講究録 |
巻: | 2174 |
開始ページ: | 59 |
終了ページ: | 72 |
抄録: | The elastic Neumann-Poincaré (eNP) operator is a boundary integral operator that appears naturally when we solve classical boundary value problems for the Lame system using layer potentials, and there is rapidly growing interest in its spectral properties recently in relation to cloaking by anomalous localized resonance (CALR). In this workshop, the speaker reported two results on the spectrum of the eNP operator. The first one is the polynomial compactness of the three-dimensional eNP operator on a C¹, α surface for a > 0, which describes a distribution of eigenvalues. The second one is on the essential spectrum of the two-dimensional eNP operator on a curve which is smooth except at a corner. |
URI: | http://hdl.handle.net/2433/263956 |
出現コレクション: | 2174 偏微分方程式による逆問題解析とその周辺 |
![](/dspace/image/articlelinker.gif)
このリポジトリに保管されているアイテムはすべて著作権により保護されています。