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https://ah.lib.nccu.edu.tw/handle/140.119/68415
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 | 上傳時間: | 7-Aug-2014 | 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 |
Appears in Collections: | 期刊論文 |
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