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

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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
Keywords: 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},
     journal = {Czechoslovak Mathematical Journal},
     pages = {291--312},
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     year = {1998},
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     zbl = {0955.34049},
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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. http://geodesic.mathdoc.fr/item/CMJ_1998__48_2_a6/