Dead-core rates for the fast diffusion equation with a spatially dependent strong absorption
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  • 作者:Pan Zheng (1) (2)
    Chunlai Mu (1)
    Iftikhar Ahmed (1)
  • 关键词:35K55 ; 35K65 ; 35B40 ; Fast diffusion equation ; Strong absorption ; Dead ; core rate
  • 刊名:Archiv der Mathematik
  • 出版年:2014
  • 出版时间:May 2014
  • 年:2014
  • 卷:102
  • 期:5
  • 页码:469-481
  • 全文大小:
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  • 作者单位:Pan Zheng (1) (2)
    Chunlai Mu (1)
    Iftikhar Ahmed (1)

    1. College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, People’s Republic of China
    2. College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing, 400065, People’s Republic of China
  • ISSN:1420-8938
文摘
This paper deals with the dead-core rates problem for the fast diffusion equation with a spatially dependent strong absorption $$u_t=(u^{m})_{xx}-x^{q}u^p, \quad(x,t)\in(0,1)\times(0,\infty),$$ where 0?<?p?<?m?<?1 and ??<?q?<?0. By using the self-similar transformation technique and the Zelenyak method, we proved that the temporal dead-core rate is non-self-similar.

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