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- W4313304599 abstract "An optimal control problem in the space of probability measures, and the viscosity solutions of the corresponding dynamic programming equations defined using the intrinsic linear derivative are studied. The value function is shown to be Lipschitz continuous with respect to a novel smooth Fourier Wasserstein metric. A comparison result between the Lipschitz viscosity sub and super solutions of the dynamic programming equation is proved using this metric, characterizing the value function as the unique Lipschitz viscosity solution." @default.
- W4313304599 created "2023-01-06" @default.
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- W4313304599 date "2022-12-21" @default.
- W4313304599 modified "2023-09-23" @default.
- W4313304599 title "Viscosity Solutions for McKean-Vlasov Control on a torus" @default.
- W4313304599 doi "https://doi.org/10.48550/arxiv.2212.11053" @default.
- W4313304599 hasPublicationYear "2022" @default.
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