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http://dx.doi.org/10.4134/JKMS.2011.48.3.513

CRITICAL EXPONENTS FOR A DOUBLY DEGENERATE PARABOLIC SYSTEM COUPLED VIA NONLINEAR BOUNDARY FLUX  

Mi, Yongsheng (College of Mathematics and Statistics Chongqing University, College of Mathematics and Computer Sciences Yangtze Normal University)
Mu, Chunlai (College of Mathematics and Statistics Chongqing University)
Chen, Botao (College of Mathematics and Computer Sciences Yangtze Normal University)
Publication Information
Journal of the Korean Mathematical Society / v.48, no.3, 2011 , pp. 513-527 More about this Journal
Abstract
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;
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