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On the Initial Value Problem for the Navier-Stokes Equations with the Initial Datum in Critical Sobolev and Besov Spaces
http://hdl.handle.net/2261/72177
http://hdl.handle.net/2261/721770fbea21b-4a4d-4239-879e-3f0d0024d7e2
名前 / ファイル | ライセンス | アクション |
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2017-04-13 | |||||
タイトル | ||||||
タイトル | On the Initial Value Problem for the Navier-Stokes Equations with the Initial Datum in Critical Sobolev and Besov Spaces | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Navier-Stokes equations | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | existence and uniqueness of local and global mild solutions | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | critical Sobolev and Besov spaces | |||||
主題Scheme | Other | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Khai, D. Q.
× Khai, D. Q.× Tri, N. M. |
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著者所属 | ||||||
著者所属 | Institute of Mathematics, Vietnam Academy of Science and Technology | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | The existence of local unique mild solutions to the Navier-Stokes equations in the whole space with an initial tempered distribution datum in critical homogeneous or inhomogeneous Sobolev spaces is shown. Especially, the case when the integral-exponent is less than 2 is investigated. The global existence is also obtained for the initial datum in critical homogeneous Sobolev spaces with a norm small enough in suitable critical Besov spaces. The key lemma is to establish the bilinear estimates in these spaces, due to the point-wise decay of the kernel of the heat semigroup. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 23, 号 2, p. 499-528, 発行日 2016-02-25 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR | ||||||
Mathmatical Subject Classification | ||||||
35Q30(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
76D05(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
76N10(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2014-10-27 |