Acta mathematica scientia,Series B ›› 2005, Vol. 25 ›› Issue (1): 7-22.

• Articles • Previous Articles     Next Articles

NECESSARY CONDITIONS FOR OPTIMAL CONTROLS OF SEMILINEAR ELLIPTIC VARIATIONAL INEQUALITIES INVOLVING STATE CONSTRAINT

 HONG Geng-Sheng   

  1. Departmat of Mathematics and the Center ofr Optimal Control and Discrete Mathematics,Huzhong Normal University Departmat of Mathematics Wuhan University
  • Online:2005-01-20 Published:2005-01-20
  • Supported by:

    This work was supported by National Natural Science Foundation of China (10071028)

Abstract:

This paper deals with maximum principle for some optimal control problem governed by some elliptic variational inequalities. Some state constraints are discussed. The basic techniques used here are based on those in [1] and a new penalty functional defined in this paper.

Key words: Variational inequality;optimal control, state constraint, maximum principle

CLC Number: 

  • 49K
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