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math.OC2026
Fokker-Planck-Kolmogorov inclusions of the mean field type
Yurii Averboukh
The paper studies a dynamical system in the Wasserstein space, where the evolution is governed by a Fokker-Planck-Kolmogorov equation with coefficients chosen from a prescribed set…
math.OC2025
Proximal aiming in weak KAM theory with nonsmooth Lagrangian
Yurii Averboukh
This work extends weak KAM theory to the case of a nonsmooth Lagrangian satisfying a superlinear growth condition. Using the solution of a weak KAM equation that is a stationary Ha…
math.OC2025
Upper and lower bounds of the value function for optimal control in the Wasserstein space
Yurii Averboukh, Aleksei Volkov
This paper explores the application of nonsmooth analysis in the Wasserstein space to finite-horizon optimal control problems for nonlocal continuity equations. We characterize the…