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

Author

Listed:
  • G. Wang

    (Huazhong Normal University)

  • Y. Zhao

    (Zhenzhou University)

  • W. Li

    (Lanzhou University)

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.

Suggested Citation

  • G. Wang & Y. Zhao & W. Li, 2000. "Some Optimal Control Problems Governed by Elliptic Variational Inequalities with Control and State Constraint on the Boundary," Journal of Optimization Theory and Applications, Springer, vol. 106(3), pages 627-655, September.
    • Handle: RePEc:spr:joptap:v:106:y:2000:i:3:d:10.1023_a:1004613630675
    DOI: 10.1023/A:1004613630675
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    Citations

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    Cited by:

    1. L. Wang, 2004. "Optimal Control of Magnetohydrodynamic Equations with State Constraint," Journal of Optimization Theory and Applications, Springer, vol. 122(3), pages 599-626, September.
    2. L. Wang, 2009. "State-Constrained Optimal Control Governed by Elliptic Differential Equations in Unbounded Domains," Journal of Optimization Theory and Applications, Springer, vol. 141(2), pages 411-427, May.
    3. G. Wang & C. Liu, 2002. "Maximum Principle for State-Constrained Control of Some Semilinear Parabolic Differential Equations," Journal of Optimization Theory and Applications, Springer, vol. 115(1), pages 183-209, October.

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