Chinese Quarterly Journal of Mathematics ›› 2005, Vol. 20 ›› Issue (4): 401-405.

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Estimates on Blow-up Rate of Nonlinear Parabolic Systems with Nonlinear Boundary Conditions

  

  1. Department of Mathematics, Zhengzhou Teacher's College, Zhengzhou 450044, China
  • Received:2003-05-12 Online:2005-12-30 Published:2024-01-05
  • About author:LIU Wei-ling(1965-),male,native of Zhengzhou,Henan,a lecture of Zhengzhou Teacher's College,engages in PDE.

Abstract: In this paper, the estimate on blow-up rate of the following nonlinear parabolic system is considered: .... . We will prove that there exist two positive constants such that: ...  , where l1= l21α/α2+l22,r=α1/α2>1,α1≤α2<0.

Key words: nonlinear boundary condition, nonlinear parabolic system, blow-up rate

CLC Number: