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https://ah.lib.nccu.edu.tw/handle/140.119/54034
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 | 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 |
Appears in Collections: | 國科會研究計畫 |
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