Acta mathematica scientia,Series B

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POSITIVE EQUILIBRIUM SOLUTIONS OF SEMILINEAR PARABOLIC EQUATIONS

Lou Bendong   

  1. Department of Applied Mathematics, Tongji University, Shanghai 200092, China
  • Received:2003-09-29 Revised:1900-01-01 Online:2006-10-20 Published:2006-10-20
  • Contact: Lou Bendong

Abstract:

The author studies semilinear parabolic equations with initial and periodic boundary value conditions. In the presence of non-well-ordered sub- and
super-solutions: ``subsolution ≮ supersolution", the existence and stability/instability of equilibrium solutions are obtained.

Key words: Semilinear parabolic equation, equilibrium solution, subsolution, supersolution

CLC Number: 

  • 34B18
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