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    题名: Dead-core rates for the porous medium equation with a strong absorption
    作者: Chen, Xinfu;Guo, Jong-Shenq;Hu, Bei
    贡献者: 淡江大學數學學系
    关键词: Dead-core rate;porous medium equation;strong absorption
    日期: 2012-09
    上传时间: 2013-03-19 21:00:15 (UTC+8)
    出版者: Springfield: American Institute of Mathematical Sciences
    摘要: We study the dead-core rate for the solution of the porous medium equation with a strong absorption. It is known that solutions with certain class of initial data develop a dead-core in finite time. We prove that, unlike the cases of semilinear heat equation and fast diffusion equation, there are solutions with the self-similar dead-core rate. This result is based on the construction of a Lyapunov functional, some a priori estimates, and a delicate analysis of the associated re-scaled ordinary differential equation.
    關聯: Discrete and Continuous Dynamical Systems - Series B 17(6), pp.1761-1774
    DOI: 10.3934/dcdsb.2012.17.1761
    显示于类别:[數學學系暨研究所] 期刊論文

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