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On the embedding constant of the Sobolev type inequality for fractional derivatives
http://hdl.handle.net/2241/00146058
http://hdl.handle.net/2241/00146058a0ec4f72-e5e6-404c-ac3a-fd28ccd65058
名前 / ファイル | ライセンス | アクション |
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IEICENTIA_7-3 (500.1 kB)
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Item type | Journal Article(1) | |||||
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公開日 | 2017-05-11 | |||||
タイトル | ||||||
タイトル | On the embedding constant of the Sobolev type inequality for fractional derivatives | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Mizuguchi, Makoto
× Mizuguchi, Makoto× Takayasu, Akitoshi× Kubo, Takayuki× Oishi, Shin'ichi |
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著者別名 |
久保, 隆徹
× 久保, 隆徹 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | This paper is concerned with the embedding constant of the Sobolev type inequality for fractional derivatives on $\Omega\subset\mathbb{R}^{N}~(N\in\mathbb{N})$. The constant is explicitly described using the analytic semigroup over L2(Ω) generated by the Laplace operator. Some numerical examples of estimating the embedding constant are also provided. | |||||
書誌情報 |
Nonlinear Theory and Its Applications, IEICE 巻 7, 号 3, p. 386-394, 発行日 2016-07 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 2185-4106 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1587/nolta.7.386 | |||||
権利 | ||||||
権利情報 | © 2016 The Institute of Electronics, Information and Communication Engineers | |||||
著者版フラグ | ||||||
値 | publisher | |||||
出版者 | ||||||
出版者 | The Institute of Electronics, Information and Communication Engineers |