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政大典藏 > College of Science > Department of Mathematical Sciences > NSC Projects > Item 140.119/54034

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/54034

Title:	一些 n 維半線性波方程解的暴破速度與暴破常數研究(II)
Other Titles:	On the Blow-up Rates and Blow-up Constants of Solutions of Some Semi-Linear Wave Equations in n-Space Dimension (II)
Authors:	李明融;謝宗翰
Contributors:	政治大學應用數學系行政院國家科學委員會
Keywords:	數學
Date:	2006
Issue Date:	2012-10-24 16:13:32 (UTC+8)
Abstract:	於此計畫吾人欲將n維半線性波方程之初始-邊界值問題 (SL) u」 – Δu = u2 in [0,T) × Ω,u = 0 on [0,T] × . Ω, u(0,·) = f ..H2(Ω), u(0,·) = g ..H1(Ω) 解之暴破集與暴破速度及暴破常數研究清楚起碼給出估算. In this Project we want to know the blow-up set of the solution to the initial value problem for the semi-linear wave equation in n-space dimension,n?4, (SL) u . u = u2 in [0,T)  ,u = 0 on [0,T]   , u(0,) = f ....2(), u(0,) = g ..C1(), where T ..(0,?] and ..nR ,n?4, is a bounded domain on which the divergent theorem can be applied. We shall also compute the blow-up rate and blow-up constant of the solution for the initial value problem for the semi-linear wave equation (SL).
Relation:	基礎研究學術補助研究期間:9508~ 9607 研究經費:363仟元
Data Type:	report
Appears in Collections:	[Department of Mathematical Sciences] NSC Projects

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