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    請使用永久網址來引用或連結此文件: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/99695

    題名: Dead-core rates for a parabolic equation with strong absorption
    作者: Guo, Jong-Shenq
    貢獻者: 淡江大學數學學系
    日期: 2013-09-19
    上傳時間: 2014-12-10 11:39:36 (UTC+8)
    摘要: We study the dead-core rates for the initial boundary value problem of various parabolic equations with strong absorption. Unlike in many other related problems of singularity formation, we show that the temporal rate of formation of the dead-core is not self-similar for both heat and fast diffusion equations. The proofs rely on self-similar variables and require a delicate use of the Zelenyak method. Moreover, we give some initial data so that the dead-core rate is self-similar for the case of slow diffusion. Some open problems shall also be given.
    顯示於類別:[數學學系暨研究所] 會議論文





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