数学物理学报(英文版) ›› 1999, Vol. 19 ›› Issue (2): 138-147.

• 论文 • 上一篇    下一篇

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

汪更生,刘昌良   

  1. Department of Mathematics,Central China Normal University,Wuhan, 430070,China
  • 收稿日期:1996-12-16 出版日期:1999-06-03 发布日期:1999-06-03

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

摘要:

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.

关键词: Maximal monotone graph, tangent cone, opimality, control

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

中图分类号: 

  • 35J60