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The Heat Flows of Harmonic Maps from $S^2$ to $S^2$
http://hdl.handle.net/2261/1550
http://hdl.handle.net/2261/1550ee48d699-d47b-4296-925f-1634ff8895a4
名前 / ファイル | ライセンス | アクション |
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jms030101.pdf (121.5 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-03-04 | |||||
タイトル | ||||||
タイトル | The Heat Flows of Harmonic Maps from $S^2$ to $S^2$ | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Asai, Keisui
× Asai, Keisui |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In this paper we show that the heat flow $u(x,t)$ with a rotationally symmetric initial map $u_0(x,t)$ converges to a harmonic map as $t\to\infty$ if $n=1$ and $0<π$ $(θ\in(0,π))$. Here we call $u_0:S^2 \to S^2$ rotationally symmetric if there exists a function $h:[0,π] \to R$ such that $h(0)=0,$ $h(π)=nπ,$ and $u(\cosτ\sinθ,\sinτ\sinθ,\cosθ) =(\cosτ\sin h(θ),\sinτ\sin h(θ),\cos h(θ)).$ | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 3, 号 1, p. 1-13, 発行日 1996 |
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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 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR1414616 | ||||||
Mathmatical Subject Classification | ||||||
58E20(MSC1991) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
1994-02-25 |