A comparison principle for viscosity solutions of nonlinear PDEs on finite nonnegative measures is proved and used to characterize the value function of a controlled branching McKean-Vlasov diffusion as the unique viscosity solution of the associated HJB equation.
Quantitative weak propagation of chaos for McKean–Vlasov branch- ing diffusion processes, arXiv preprint, arXiv:2601.08330, 2026
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Comparison of viscosity solutions for a class of non-linear PDEs on the space of finite nonnegative measures
A comparison principle for viscosity solutions of nonlinear PDEs on finite nonnegative measures is proved and used to characterize the value function of a controlled branching McKean-Vlasov diffusion as the unique viscosity solution of the associated HJB equation.