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Relaxation of optimal control problems involving time dependent subdifferential operators. (English) Zbl 1288.34057

This article is devoted to the investigation of infinite dimensional nonautonomous evolution problems involving subdifferential operators along with a single-valued Lipschitz perturbation. The authors establish the existence and uniqueness of absolutely continuous solution for such problems. As an application the relaxation problem of optimal control with Young measures is considered.

MSC:

34G25 Evolution inclusions
49J52 Nonsmooth analysis
49J21 Existence theories for optimal control problems involving relations other than differential equations
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