Acta mathematica scientia,Series A ›› 2004, Vol. 24 ›› Issue (3): 265-274.

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Quenching for a Nonlinear Degenerate Parabolic Equation with Time Delay

 CHEN You-Peng, XIE Chun-Hong   

  • Online:2004-06-22 Published:2004-06-22

Abstract:

This paper deals with the initial boundary valu e problem of a nonlinear degenerate parabolic equation with time delay.The method of regularization and the technique of upper and lower solutions are employed to show the local existence and the continuation of the positive classical solution of the above problem.The global existence and finite time quenching are discussed, and the critical length is established.The location of the uenching points and the estimates of the quenching rate for the special case of f(u) are obtained.

Key words: Degenerate parabolic equation, Time delay, Upper and lower solutions, Critical l ength, Quenching rate

CLC Number: 

  • 35K55
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