Hamiltonian Pontryagin's Principles for Control Problems Governed by Semilinear Parabolic Equations

Abstract : In this paper we study optimal control problems governed by semilinear parabolic equations. We obtain necessary optimality conditions in the form of an exact Pontryagin's minimum principle for distributed and boundary controls (which can be unbounded) and bounded initial controls. These optimality conditions are obtained thanks to new regularity results for linear and nonlinear parabolic equations.
Type de document :
Article dans une revue
Applied Mathematics and Optimization, Springer Verlag (Germany), 1999, 39 (2), pp. 143-177. 〈10.1007/s002459900102〉
Liste complète des métadonnées

https://hal-ensta.archives-ouvertes.fr/hal-01254052
Contributeur : Hasnaa Zidani <>
Soumis le : lundi 11 janvier 2016 - 16:49:14
Dernière modification le : jeudi 18 janvier 2018 - 10:39:12

Lien texte intégral

Identifiants

Citation

Raymond J.P., H. Zidani. Hamiltonian Pontryagin's Principles for Control Problems Governed by Semilinear Parabolic Equations. Applied Mathematics and Optimization, Springer Verlag (Germany), 1999, 39 (2), pp. 143-177. 〈10.1007/s002459900102〉. 〈hal-01254052〉

Partager

Métriques

Consultations de la notice

90