Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition

Title	Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition
Creator	符聖珍 Fu,Sheng-Chen Guo,Jong-Shenq Tsai,Je-Chiang
Contributor	應數系
Date	2003
Date Issued	24-Dec-2008 13:37:18 (UTC+8)
Summary	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
Type	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-Shenq	en_US
dc.creator (作者)	Tsai,Je-Chiang	en_US
dc.date (日期)	2003	en_US
dc.date.accessioned	24-Dec-2008 13:37:18 (UTC+8)	-
dc.date.available	24-Dec-2008 13:37:18 (UTC+8)	-
dc.date.issued (上傳時間)	24-Dec-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/pdf	en_US
dc.format.extent	765821 bytes	-
dc.format.mimetype	application/pdf	-
dc.language	en	en_US
dc.language	en-US	en_US
dc.language.iso	en_US	-
dc.relation (關聯)	Tohoku Mathematical Journal,55,565-581	en_US
dc.title (題名)	Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition	en_US
dc.type (資料類型)	article	en