Optimal controls of mean-field continuity equations are shown to be intrinsically Lipschitz in space when the control cost is sufficiently strongly convex, via uniform coercivity in Wasserstein calculus.
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Intrinsic Lipschitz Regularity of Mean-Field Optimal Controls
Optimal controls of mean-field continuity equations are shown to be intrinsically Lipschitz in space when the control cost is sufficiently strongly convex, via uniform coercivity in Wasserstein calculus.