A lagrange multiplier theorem for control problems with state constraints

Abstract : We prove an existence theorem of Lagrange multipliers for an abstract control problem in Banach spaces. This theorem may be applied to obtain optimality conditions for control problems governed by partial differential equations in the presence of pointwise state constraints.
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Article dans une revue
Numerical Functional Analysis and Optimization, Taylor & Francis, 1998, 19 (7-8), pp.51-73
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https://hal-univ-tln.archives-ouvertes.fr/hal-00993908
Contributeur : Jean-Jacques Alibert <>
Soumis le : mardi 20 mai 2014 - 17:16:18
Dernière modification le : mardi 19 juin 2018 - 15:50:01

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  • HAL Id : hal-00993908, version 1

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Jean-Jacques Alibert, Jean-Pierre Raymond. A lagrange multiplier theorem for control problems with state constraints. Numerical Functional Analysis and Optimization, Taylor & Francis, 1998, 19 (7-8), pp.51-73. 〈hal-00993908〉

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