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Nondegeneracy and Single-point-blowup for Solution of the Heat Equation with a Nonlinear Boundary Condition
http://hdl.handle.net/2261/1586
http://hdl.handle.net/2261/1586750a4b4b-2c09-4104-a547-75bf2232e43b
名前 / ファイル | ライセンス | アクション |
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jms010201.pdf (198.1 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 | Nondegeneracy and Single-point-blowup for Solution of the Heat Equation with a Nonlinear Boundary Condition | |||||
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 |
Hu, Bei
× Hu, Bei |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | This paper studies the nondegeneracy of the blowup limit and the single-point-blowup for the heat equation $u_t = Δ u$ with the nonlinear boundary condition $u_n = u^p$ on $\partial Ω × [0,T)$. Under certain blowup rate assumption (which was established recently under some assumptions on the initial data), we prove that the blowup limit is nontrivial at the blowup point. We also establish that the single-point-blowup occurs in two space dimensional radially symmetric domain with non-radially symmetric initial data with only one ""hill"" on the boundary. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 1, 号 2, p. 251-276, 発行日 1994 |
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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 | ||||||
MR1317460 | ||||||
Mathmatical Subject Classification | ||||||
35B35(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
35B40(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
35K05(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
35K60(MSC1991) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
1994-04-11 |