Convex parabolic boundary control problems with pointwise state constraints |
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Authors: | Uwe Mackenroth |
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Institution: | Mathematisches Institut der Universität Bayreuth, Universitätsstrasse 30, D-8580 Bayreuth, Federal Republic of Germany |
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Abstract: | Optimality conditions and duality are studied for convex parabolic boundary control problems with control constraints and pointwise state constraints. Caused by the presence of state constraints, the multipliers in the optimality conditions and the variables in the dual problem are Borel measures. These measures appear as data in the adjoint partial differential equation. It is shown that its solution as well as the restriction of its solution to the boundary is summable. |
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