Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2009.11.24
  • Accepted : 2010.01.18
  • Published : 2011.05.01
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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

References

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