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National Chung Hsing University Institutional Repository - NCHUIR > 理學院 > 應用數學系所 > 依資料類型分類 > 期刊論文 >  An application of braid group theory to the finite time dead-core rate

Please use this identifier to cite or link to this item: http://nchuir.lib.nchu.edu.tw/handle/309270000/135639

標題: An application of braid group theory to the finite time dead-core rate
作者: Guo, J.S.;Matano, H.;Wu, C.C.
吳菁菁
關鍵字: semilinear heat-equations;blow-up;strong absorption;positive;solutions;ii blowup;dynamics
日期: 2010
Issue Date: 2012-12-14 12:04:36 (UTC+8)
關連: Journal of Evolution Equations, Volume 10, Issue 4, Page(s) 835-855.
摘要: We consider the dead-core problem for the semilinear heat equation with strong absorption and with positive boundary values in a ball. We investigate the dead-core rate, i.e. the rate at which the solution reaches its first zero. We first show, as in the one-dimensional case, that the dead-core rate is always faster than the self-similar rate. By using some special solutions and the braid group theory, we then derive the exact dead-core rates for a large class of initial data.
Relation: Journal of Evolution Equations
Appears in Collections:[依資料類型分類] 期刊論文
[依教師分類] 吳菁菁

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