Optimal obstacle control problem

ZHU Li;LI Xiu-hua;GUO Xing-ming

doi:10.1007/s10483-008-0501-5

Applied Mathematics and Mechanics >

2008 , Vol. 29 >Issue 5: 559 - 570

DOI: https://doi.org/10.1007/s10483-008-0501-5

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Optimal obstacle control problem

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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 date: 2007-08-15

Revised date: 2008-04-14

Online published: 2008-05-18

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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

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ZHU Li;LI Xiu-hua;GUO Xing-ming . Optimal obstacle control problem[J]. Applied Mathematics and Mechanics, 2008 , 29(5) : 559 -570 . DOI: 10.1007/s10483-008-0501-5

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