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The Spectrum of Second Order Elliptic Operator and Useful Integral Inequality<数学・自然科学>
https://doi.org/10.24561/00018729
https://doi.org/10.24561/00018729f47aa8b5-ccca-4132-821e-81183cfb9654
名前 / ファイル | ライセンス | アクション |
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KY-AA12318206-6802-33.pdf (1.3 MB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2019-10-01 | |||||
タイトル | ||||||
タイトル | The Spectrum of Second Order Elliptic Operator and Useful Integral Inequality<数学・自然科学> | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | spectra | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | second order elliptic operator | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | elliptic equation | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | integral inequality | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | compactness argument | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
ID登録 | ||||||
ID登録 | 10.24561/00018729 | |||||
ID登録タイプ | JaLC | |||||
タイトル(別言語) | ||||||
その他のタイトル | 2階楕円型作用素のスペクトルと有用な積分不等式 | |||||
著者 |
道工, 勇
× 道工, 勇 |
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著者 ローマ字 | ||||||
DÔKU, Isamu | ||||||
著者 所属 | ||||||
Faculty of Education, Saitama University | ||||||
書誌情報 |
埼玉大学紀要. 教育学部 en : Journal of Saitama University. Faculty of Education 巻 68, 号 2, p. 495-505, 発行日 2019 |
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年月次 | ||||||
2019 | ||||||
出版者名 | ||||||
出版者 | 埼玉大学教育学部 | |||||
出版者名(別言語) | ||||||
出版者 | Faculty of Education, Saitama University | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 18815146 | |||||
概要 | ||||||
内容記述タイプ | Other | |||||
内容記述 | We consider the second order elliptic equation A(x, ∂)u(x)+q(x)u(x)=f(x), and also consider the integral inequality that provides us with a lower bound estimate of the associated quadratic form. In so doing, we need to introduce newly a positive continuous function λ(x) on the region in question. This type of estimate is quite very useful if we apply the result to the elliptic equation to obtain estimates of eigenfunctions for the equation. The principal purpose of this article is to settle down the positive continuous function λ(x) in a concrete manner. It suffices to involve the spectra of operator and the compactness argument in functional spaces, in order to realize the above-mentioned program. | |||||
版 | ||||||
[出版社版] | ||||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
資源タイプ | ||||||
内容記述タイプ | Other | |||||
内容記述 | text | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
作成日 | ||||||
日付 | 2019-10-01 | |||||
日付タイプ | Created | |||||
アイテムID | ||||||
KY-AA12318206-6802-33 |