Optimality Conditions for State-Constrained Dirichlet Boundary Control Problems

N. Arada and J. P. Raymond
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N. Arada: Université Paul Sabatier
J. P. Raymond: UMR CNRS MIP, Université Paul Sabatier

Journal of Optimization Theory and Applications, 1999, vol. 102, issue 1, No 4, 68 pages

Abstract: 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–Čech compactification (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1023/A:1021886227276

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