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題名 一些 n 維半線性波方程解的暴破速度與暴破常數研究(II)
其他題名 On the Blow-up Rates and Blow-up Constants of Solutions of Some Semi-Linear Wave Equations in n-Space Dimension (II)
作者 李明融;謝宗翰
貢獻者 政治大學應用數學系
行政院國家科學委員會
關鍵詞 數學
日期 2006
上傳時間 24-Oct-2012 16:13:32 (UTC+8)
摘要 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).
關聯 基礎研究
學術補助
研究期間:9508~ 9607
研究經費:363仟元
資料類型 report
dc.contributor 政治大學應用數學系en_US
dc.contributor 行政院國家科學委員會en_US
dc.creator (作者) 李明融;謝宗翰zh_TW
dc.date (日期) 2006en_US
dc.date.accessioned 24-Oct-2012 16:13:32 (UTC+8)-
dc.date.available 24-Oct-2012 16:13:32 (UTC+8)-
dc.date.issued (上傳時間) 24-Oct-2012 16:13:32 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/54034-
dc.description.abstract (摘要) 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.en_US
dc.description.abstract (摘要) 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).en_US
dc.language.iso en_US-
dc.relation (關聯) 基礎研究en_US
dc.relation (關聯) 學術補助en_US
dc.relation (關聯) 研究期間:9508~ 9607en_US
dc.relation (關聯) 研究經費:363仟元en_US
dc.subject (關鍵詞) 數學en_US
dc.title (題名) 一些 n 維半線性波方程解的暴破速度與暴破常數研究(II)zh_TW
dc.title.alternative (其他題名) On the Blow-up Rates and Blow-up Constants of Solutions of Some Semi-Linear Wave Equations in n-Space Dimension (II)en_US
dc.type (資料類型) reporten