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Moreau-Yosida Penalization of McKean-Vlasov Dynamics: Full-Flux Limits and Boundary Reaction Measures
We study McKean-Vlasov Fokker-Planck dynamics on a compact convex set $K\subset\mathbb{R}^d$ through the whole-space Moreau-Yosida penalization $U_λ=\operatorname{dist}(\cdot,K)^2/(2λ)$, keeping the external and interaction potentials fixed. At finite times, the penalized densities converge to the u
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