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    Please use this identifier to cite or link to this item: http://nccur.lib.nccu.edu.tw/handle/140.119/54057


    Title: 非線性擾動下三維有界域半線性波方式爆炸解之穩定性研究
    Other Titles: Stability of Positive Solutions for Some Semilinear Wave Equations in Bounded Domain under Nonlinear Perturbation near Blow-Up Solutions in 3-Space Dimension
    Authors: 李明融;白仁德;謝宗翰
    Contributors: 國立政治大學應用數學學系
    行政院國家科學委員會
    Keywords: 數學
    stability;boundary values problem;semilinear wave equation;blow-up
    Date: 2010
    Issue Date: 2012-10-24 16:14:07 (UTC+8)
    Abstract: 我們將於此計畫研究二維有界域上半線性波方程在非線性干擾下正解的穩定性問題。
    In this research we will study the stability of the positive solutions for some semilinear wave equations under nonlinear perturbation near blow-up solutions in 2-space dimension u − Δu = u p + uq in [0,T )× Ω. tt λ . In this report we will consider the stability problem of positive solutions of semilinear wave equations pttuuu with initial and boundary values problem near the blow-up solution in 3-space dimension.
    Relation: 基礎研究
    學術補助
    研究期間:9908~ 10007
    研究經費:395仟元
    Data Type: report
    Appears in Collections:[應用數學系] 國科會研究計畫

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