Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (5): 559-570 .doi: https://doi.org/10.1007/s10483-008-0501-5

• Articles •     Next Articles

Optimal obstacle control problem

ZHU Li, LI Xiu-hua, GUO Xing-ming   

    1. Department of Mathematics, Xiangtan University, Xiangtan 411105, Hunan Province, P. R. China;
    2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China
  • Received:2007-08-15 Revised:2008-04-14 Online:2008-05-18 Published:2008-05-18
  • Contact: GUO Xing-ming

PDF

724

Abstract: In the paper we discuss some properties of the state operators of the optimal obstacle control problem for elliptic variational inequality. Existence, uniqueness and regularity of the optimal control problem are established. In addition, the approximation of the optimal obstacle problem is also studied.

Key words: obstacle problem,penalized method，optimality system，approximate problem

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn