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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 24-十二月-2008 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
dc.contributor 應數系-
dc.creator (作者) 符聖珍zh_TW
dc.creator (作者) Fu,Sheng-Chen-
dc.creator (作者) Guo,Jong-Shenqen_US
dc.creator (作者) Tsai,Je-Chiangen_US
dc.date (日期) 2003en_US
dc.date.accessioned 24-十二月-2008 13:37:18 (UTC+8)-
dc.date.available 24-十二月-2008 13:37:18 (UTC+8)-
dc.date.issued (上傳時間) 24-十二月-2008 13:37:18 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/18815-
dc.description.abstract (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.-
dc.format application/pdfen_US
dc.format.extent 765821 bytes-
dc.format.mimetype application/pdf-
dc.language enen_US
dc.language en-USen_US
dc.language.iso en_US-
dc.relation (關聯) Tohoku Mathematical Journal,55,565-581en_US
dc.title (題名) Blow-up behavior for a semilinear heat equation with a nonlinear boundary conditionen_US
dc.type (資料類型) articleen