Chinese Quarterly Journal of Mathematics ›› 1998, Vol. 13 ›› Issue (4): 87-93.

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Existence and Nonexistence of Global Solution for Quasilinear Parabolic Equation

  

  1.  Department of Mathematics,Henan University,Kaifeng,475001; Pingdingshan Education College; Department of Applied Mathematics,Southeast University 
  • Received:1998-02-23 Online:1998-12-30 Published:2024-10-18

Abstract: This paper deals with the existence and nonexistence of global positive solutions of the following quasilinear parabolic equations:...  is a bounded domain with smooth boundary ∂●,m,n,p are positive constants,γ is the outward normal vector.The necessary and sufficient conditions for the global existence of solutions are obtained.


Key words:  , quasilinear parabolic equations;nonlinear boundary conditions;existence of global solutions

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