Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (5): 1061-1070.

• Articles • Previous Articles     Next Articles

Blow-up and Global Boundedness for a Degenerate Parabolic System with Positive Boundary Value Condition

 LING Zheng-Qiu, QIN Sai-Qan   

  1. Institute of Mathematics and Information Science, Yulin Normal University, Guangxi Yulin 537000
  • Received:2012-08-31 Revised:2014-07-25 Online:2014-10-25 Published:2014-10-25
  • Supported by:

    广西高校科学技术研究重点项目(ZD2014106)资助.

Abstract:

This paper deals with a degenerate parabolic system coupled via nonlocal sources, subjecting to positive Dirichlet boundary value conditions. With the help of the super and sub-solution methods and the piecewise function, the blow-up criteria and global boundedness of nonnegative solutions are determined. The results show that the positive boundary value εplays an important role in the case of blow-up.

Key words: Degenerate parabolic system, Blow-up, Global boundedness

CLC Number: 

  • 35K40
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