Recent advances in the analysis of pointwise state-constrained elliptic optimal control problems

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URI: http://hdl.handle.net/10902/1620
ISSN: 1262-3377
ISSN: 1292-8119
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Autoría
Casas Rentería, EduardoAutoridad Unican; Tröltzsch, FrediAutoridad Unican
Fecha
2010
Derechos
© 2010 EDP Sciences, SMAI, 2009. The original publication is available at www.esaim-cocv.org
Publicado en
ESAIM: Control, Optimisation and Calculus of Variations, 2010, 16(3), 581-600.
Editorial
EDP Sciences
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Palabras clave
Optimal control
Pointwise state constraints
First and second order optimality conditions
Lagrange multipliers
Borel measures
Resumen/Abstract
Optimal control problems for semilinear elliptic equations with control constraints and pointwise state constraints are studied. Several theoretical results are derived, which are necessary to carry out a numerical analysis for this class of control problems. In particular, sufficient second-order optimality conditions, some new regularity results on optimal controls and a sufficient condition for the uniqueness of the Lagrange multiplier associated with the state constraints are presented.
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