# Pontryagin's Principle For Local Solutions of Control Problems with Mixed Control-State Constraints

Abstract : This paper deals with optimal control problems of semilinear parabolic equations with pointwise state constraints and coupled integral state-control constraints. We obtain necessary optimality conditions in the form of a Pontryagin's minimum principle for local solutions in the sense of $L^p$, $p \leq +\infty$.
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Article dans une revue
SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2000, 39 (4), pp.1182-1203. 〈10.1137/S0363012998345627〉

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Soumis le : lundi 11 janvier 2016 - 16:56:28
Dernière modification le : vendredi 14 septembre 2018 - 09:16:06

### Citation

Eduardo Casas, Raymond J.P., H. Zidani. Pontryagin's Principle For Local Solutions of Control Problems with Mixed Control-State Constraints . SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2000, 39 (4), pp.1182-1203. 〈10.1137/S0363012998345627〉. 〈hal-01254063〉

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