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https://ah.lib.nccu.edu.tw/handle/140.119/18815
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: | 24-十二月-2008 | 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 |
Appears in Collections: | 期刊論文 |
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