Please use this identifier to cite or link to this item: https://ah.nccu.edu.tw/handle/140.119/18815


Title: Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition
Authors: 符聖珍
Fu,Sheng-Chen
Guo,Jong-Shenq
Tsai,Je-Chiang
Contributors: 應數系
Date: 2003
Issue Date: 2008-12-24 13:37:18 (UTC+8)
Abstract: 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.
Relation: Tohoku Mathematical Journal,55,565-581
Data Type: article
Appears in Collections:[應用數學系] 期刊論文

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