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J. Korean Math. Soc. 2011; 48(3): 513-527
Printed May 1, 2011
https://doi.org/10.4134/JKMS.2011.48.3.513
Copyright © The Korean Mathematical Society.
Critical exponents for a doubly degenerate parabolic system coupled via nonlinear boundary flux
Yongsheng Mi, Chunlai Mu, and Botao Chen
Yangtze Normal University, Chongqing University, Yangtze Normal University
The paper deals with the degenerate parabolic system with nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence curve. The critical Fujita curve is conjectured with the aid of some new results.
Keywords: critical global existence curve, degenerate parabolic systems, critical Fujita curve, nonlinear boundary flux, blow-up
MSC numbers: 35K55, 35K65, 35B40
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