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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 7-八月-2014 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
dc.contributor 應數系en_US
dc.creator (作者) 符聖珍zh_TW
dc.creator (作者) Fu,Sheng-Chenen_US
dc.creator (作者) Guo,Jong-Shenqen_US
dc.creator (作者) Wu,Chin-Chinen_US
dc.date (日期) 2009.08en_US
dc.date.accessioned 7-八月-2014 11:34:52 (UTC+8)-
dc.date.available 7-八月-2014 11:34:52 (UTC+8)-
dc.date.issued (上傳時間) 7-八月-2014 11:34:52 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/68415-
dc.description.abstract (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.en_US
dc.format.extent 99825 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) Taiwanese J. Math.,13(4),1213-1227en_US
dc.subject (關鍵詞) Heat equation;Strong absorption;Dead-core;Dead-core rateen_US
dc.title (題名) DEAD-CORE AT TIME INFINITY FOR A HEAT EQUATION WITH STRONG ABSORPTIONen_US
dc.type (資料類型) articleen