Abstract
This paper is concerned with state constrained optimal control problems of elliptic equations, the control being a coefficient of the partial differential equation. Existence of an optimal control is proved and optimality conditions are derived. We perform finite-element approximations of optimal control problems and state some convergence results: we prove convergence of optimal controls and states as well as convergence of Lagrange multipliers.
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Communicated by R. Temam
This research was partially supported by the Dirección General de Investigación Científica y Técnica (Madrid).
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Casas, E. Optimal control in coefficients of elliptic equations with state constraints. Appl Math Optim 26, 21–37 (1992). https://doi.org/10.1007/BF01218394
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DOI: https://doi.org/10.1007/BF01218394