Geodesic
Transportation flow problems with Radon measure variables
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 20 (2000) no. 1, pp. 93-111

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For a multidimensional control problem (P)_K involving controls u ∈ L_∞, we construct a dual problem (D)_K in which the variables ν to be paired with u are taken from the measure space rca (Ω,) instead of (L_∞)*. For this purpose, we add to (P)_K a Baire class restriction for the representatives of the controls u. As main results, we prove a strong duality theorem and saddle-point conditions.
Keywords: multidimensional control problems, strong duality, saddle-point conditions, Baire classification 
Wagner, Marcus. Transportation flow problems with Radon measure variables. Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 20 (2000) no. 1, pp. 93-111. http://geodesic.mathdoc.fr/item/DMDICO_2000_20_1_a6/
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