Geodesic
Optimality Conditions for Constrained Convex Parabolic Control Problems Via Duality
Journal of convex analysis, Tome 7 (2000) no. 1, pp. 1-18.

Voir la notice de l'article provenant de la source Heldermann Verlag

The optimality system is given for a phase-constrained control problem governed by a linear parabolic equation. The control may act on the boundary and the cost function may depend on the boundary values of the final state. The optimality system follows from general results for convex state-constrained control problems by means of the theory of convex duality, using a suitable perturbation. 
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     author = {D. Az\'e and S. Bolintin\'eanu},
     title = {Optimality {Conditions} for {Constrained} {Convex} {Parabolic} {Control} {Problems} {Via} {Duality}},
     journal = {Journal of convex analysis},
     pages = {1--18},
     publisher = {mathdoc},
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     number = {1},
     year = {2000},
     url = {http://geodesic.mathdoc.fr/item/JCA_2000_7_1_JCA_2000_7_1_a0/}
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D. Azé; S. Bolintinéanu. Optimality Conditions for Constrained Convex Parabolic Control Problems Via Duality. Journal of convex analysis, Tome 7 (2000) no. 1, pp. 1-18. http://geodesic.mathdoc.fr/item/JCA_2000_7_1_JCA_2000_7_1_a0/