Acta mathematica scientia,Series B ›› 1999, Vol. 19 ›› Issue (2): 138-147.

• Articles • Previous Articles     Next Articles

Optimal Control problem of Parabolic Differential Equation with Two Point Boundary Condition 

 HONG Geng-Sheng, lLiu-Chang-Liang   

  1. Department of Mathematics,Central China Normal University,Wuhan, 430070,China
  • Received:1996-12-16 Online:1999-06-03 Published:1999-06-03

Abstract:

This paper deals with optimal control problem of parabolic differential equation with two points boundary conditions(in the time varialbe). The results here extend those in [3] on optimal control of the heat equations. Morover,the technique used in this paper is based on some smooth approximations of  "tangent cones" in the sense of Clarke and some maximal monotone operators.

Key words: Maximal monotone graph, tangent cone, opimality, control

CLC Number: 

  • 35J60
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