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Some Optimal Control Problems Governed by Elliptic Variational Inequalities with Control and State Constraint on the Boundary

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Abstract

This work deals with the necessary conditions of optimality for some optimal control problems governed by elliptic variational inequalities. Boundary control and state constrained problems are considered. The techniques used are based on those in Ref. 1 and a new penalty functional is defined in this paper.

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Authors and Affiliations

  1. Mathematics Department, Huazhong Normal University, Wuhan, PRC

    G. Wang (Professor)

  2. Mathematics Department, Zhenzhou University, Zhenzhou, PRC

    Y. Zhao (Associate Professor)

  3. Mathematics Department, Lanzhou University, Lanzhou, PRC

    W. Li (Assistant Professor)

Authors
  1. G. Wang
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  2. Y. Zhao
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  3. W. Li
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Wang, G., Zhao, Y. & Li, W. Some Optimal Control Problems Governed by Elliptic Variational Inequalities with Control and State Constraint on the Boundary. Journal of Optimization Theory and Applications 106, 627–655 (2000). https://doi.org/10.1023/A:1004613630675

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  • DOI: https://doi.org/10.1023/A:1004613630675

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