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    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/68415


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    題名: DEAD-CORE AT TIME INFINITY FOR A HEAT EQUATION WITH STRONG ABSORPTION
    作者: 符聖珍
    Fu,Sheng-Chen
    Guo,Jong-Shenq
    Wu,Chin-Chin
    貢獻者: 應數系
    關鍵詞: Heat equation;Strong absorption;Dead-core;Dead-core rate
    日期: 2009.08
    上傳時間: 2014-08-07 11:34:52 (UTC+8)
    摘要: We study an initial boundary value problem for a heat equation with strong absorption. We first prove that the solution of this problem stays positive for any finite time and converges to the unique steady state for a large class of initial data. This gives an example in which the dead-core is developed in infinite time. Then some estimates of the dead-core rate(s) are derived. Finally, we provide the uniformly exponential rate of convergence of the solution to the unique steady state.
    關聯: Taiwanese J. Math.,13(4),1213-1227
    資料類型: article
    顯示於類別:[應用數學系] 期刊論文

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