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Optimal obstacle control problem
Authors:Li Zhu  Xiu-hua Li  Xing-ming Guo
Institution: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
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.
Keywords:obstacle problem  penalized method  optimality system  approximate problem
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