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    題名: Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition
    作者: 符聖珍
    Fu,Sheng-Chen
    Guo,Jong-Shenq
    Tsai,Je-Chiang
    貢獻者: 應數系
    日期: 2003
    上傳時間: 2008-12-24 13:37:18 (UTC+8)
    摘要: We study the blow-up behaviors of solutions of a semilinear heat equation with a nonlinear boundary condition. Under certain conditions, we prove that the blow-up point occurs only at the boundary. Then, by applying the well-known method of Giga-Kohn, we derive the time asymptotic of solutions near the blow-up time. Finally, we prove that the blow-up is complete.
    關聯: Tohoku Mathematical Journal,55,565-581
    資料類型: article
    顯示於類別:[應用數學系] 期刊論文

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