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Optimality Conditions for State-Constrained Dirichlet Boundary Control Problems |
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| Authors: | Arada N. Raymond J. P. |
| Affiliation: | (1) Attaché Temporaire d'Enseignement et de Recherche, UMR CNRS MIP, Université Paul Sabatier, Toulouse, France;(2) UMR CNRS MIP, Université Paul Sabatier, Toulouse, France |
| Abstract: | In this paper, we prove that the combination of representation theorems for additive measures introduced in Ref. 1, together with a Lagrange multiplier theorem, leads to a short and direct proof of the optimality conditions for Dirichlet control problems with pointwise state constraints. |
| Keywords: | Dirichlet boundary control semilinear parabolic equations pointwise state constraints Lagrange multiplier theorems Stone– |
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