Bull. Korean Math. Soc. 2013; 50(1): 105-116
Printed January 31, 2013
https://doi.org/10.4134/BKMS.2013.50.1.105
Copyright © The Korean Mathematical Society.
Zhongping Li, Chunlai Mu, and Wanjuan Du
China West Normal University, Chongqing University, China West Normal University
In this paper, we consider the positive solution to a Cauchy problem in $\mathbb R^N$ of the fast diffusive equation: $|x|^mu_t={\rm div}(|\nabla u|^{p-2}\nabla u)+|x|^nu^q$, with nontrivial, nonnegative initial data. Here $\frac{2N+m}{N+m+1}
1$ and $0
Keywords: critical Fujita exponent, fast diffusive equation, variable coefficients
MSC numbers: 35K50, 35K55, 35B33
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