On the existence of optimal controls for nonlinear infinite dimensional systems
Czechoslovak Mathematical Journal, Tome 48 (1998) no. 2, pp. 291-312.

Voir la notice de l'article dans Czech Digital Mathematics Library

We consider nonlinear systems with a priori feedback. We establish the existence of admissible pairs and then we show that the Lagrange optimal control problem admits an optimal pair. As application we work out in detail two examples of optimal control problems for nonlinear parabolic partial differential equations.
Classification : 34G20, 34H05, 47N20, 49J25, 49J27
Mots-clés : evolution triple; optimal control; monotone operator; hemicontinuous operator; parabolic system; property $(Q)$ 
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     author = {Fiacca, Antonella and Papageorgiou, Nikolaos S. and Papalini, Francesca},
     title = {On the existence of optimal controls for nonlinear infinite dimensional systems},
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Fiacca, Antonella; Papageorgiou, Nikolaos S.; Papalini, Francesca. On the existence of optimal controls for nonlinear infinite dimensional systems. Czechoslovak Mathematical Journal, Tome 48 (1998) no. 2, pp. 291-312. https://geodesic-test.mathdoc.fr/item/CMJ_1998__48_2_a6/