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Stability of Trace Theorems on the Sphere
http://hdl.handle.net/2237/00028451
http://hdl.handle.net/2237/0002845138ae9fe7-6898-492f-aa0a-6c57c54332ab
名前 / ファイル | ライセンス | アクション |
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BJOS_JGA_revised_version (386.6 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2018-08-08 | |||||
タイトル | ||||||
タイトル | Stability of Trace Theorems on the Sphere | |||||
言語 | en | |||||
著者 |
Bez, Neal
× Bez, Neal× Jeavons, Chris× Ozawa, Tohru× Sugimoto, Mitsuru |
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アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | “This is a post-peer-review, pre-copyedit version of an article published in [The Journal of Geometric Analysis]. The final authenticated version is available online at: http://dx.doi.org/10.1007/s12220-017-9870-8”. | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Trace theorems | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Stability estimates | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Duality | |||||
抄録 | ||||||
内容記述 | We prove stable versions of trace theorems on the sphere in L^2 with optimal constants, thus obtaining rather precise information regarding near-extremisers. We also obtain stability for the trace theorem into L^q for q>2, by combining a refined Hardy–Littlewood–Sobolev inequality on the sphere with a duality–stability result proved very recently by Carlen. Finally, we extend a local version of Carlen’s duality theorem to establish local stability of certain Strichartz estimates for the kinetic transport equation. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
内容記述 | ||||||
内容記述 | ファイル公開:2019/04/01 | |||||
言語 | ja | |||||
内容記述タイプ | Other | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | Springer | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
出版タイプ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1007/s12220-017-9870-8 | |||||
ISSN | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 1050-6926 | |||||
書誌情報 |
The Journal of Geometric Analysis 巻 28, 号 2, p. 1456-1476, 発行日 2018-04 |
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著者版フラグ | ||||||
値 | author |