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2007, Volume 6, Issue 4: 1113-1129. Doi: 10.3934/cpaa.2007.6.1113
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Non-simultaneous blow-up for heat equations with positive-negative sources and coupled boundary flux

  • 1.

    Department of Applied Mathematics, Dalian University of Technology, Dalian 116024

Received:  October 2006
Revised:  February 2007
Published:  December 2007
Abstract / Introduction Related Papers Cited by
    Abstract
  • This paper deals with non-simultaneous blow-up for heat equations with positive-negative sources coupled via nonlinear boundary flux. At first, we establish the necessary-sufficient conditions for non-simultaneous blow-up of solutions under suitable initial data. Furthermore, the sufficient conditions are determined under which any blow-up of solutions to the model would be non-simultaneous. Comparing with those for a similar system possessing negative-negative sources obtained in a previous paper [19] we show clearly the contribution of the positive source in the present model to the non-simultaneous blowing up behavior of solutions.
    Mathematics Subject Classification: Primary: 35K57, 35B33, 35B40.

    Citation:
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