Acta mathematica scientia,Series B ›› 1996, Vol. 16 ›› Issue (S1): 100-116.

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APPROCHING A BLOW-UP POINT IN ONE-DIMENSIONAL SEMILINEAR HEAT SYSTEMS

Hu Jiuxang, Chen Qingyi   

  1. Dept. of Math. Huazhong Univ. of Sci. and Tech. Wuhan 430074
  • Received:1993-09-26 Revised:1994-06-27 Online:1996-12-31 Published:1996-12-31

Abstract: In this paper, using self-similar variablies technique we consider asymptotic behavior of blowing up solution of Cauchy problem and Dirichlet problem for one-dimensional heat systems near blow-up time.

Key words: blow-up point, blow-up rate, self-similar variables

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