Dead-core rates for the fast diffusion equation with a spatially dependent strong absorption |
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| Authors: | Pan Zheng Chunlai Mu Iftikhar Ahmed |
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| Institution: | 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
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| Abstract: | 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 ?1 < 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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