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 タイトル: Nondegeneracy and Single-point-blowup for Solution of the Heat Equation with a Nonlinear Boundary Condition 著者: Hu, Bei 発行日: 1994年 出版者: Graduate School of Mathematical Sciences, The University of Tokyo 掲載誌情報: Journal of Mathematical Sciences, The University of Tokyo. Vol. 1 (1994), No. 2, Page 251-276 抄録: 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. URI: http://hdl.handle.net/2261/1586 ISSN: 13405705 出現カテゴリ: Journal of Mathematical Sciences, the University of TokyoJournal of Mathematical Sciences, the University of Tokyo

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