Transportation flow problems with Radon measure variables | Zendy

Marcus Wagner | Zendy

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Transportation flow problems with Radon measure variables

Author(s) -

Marcus Wagner

Publication year - 2000

Publication title -

discussiones mathematicae differential inclusions control and optimization

Language(s) - English

Resource type - Journals

eISSN - 2084-0365

pISSN - 1509-9407

DOI - 10.7151/dmdico.1007

Subject(s) - radon , measure (data warehouse) , environmental science , flow (mathematics) , radon measure , statistics , econometrics , computer science , mathematics , data mining , physics , geometry , quantum mechanics , locally compact space , pure mathematics

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, B) 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.

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