  The well-posedness and regularity properties of diffusion-aggregation
equations, emerging from interacting particle systems, are established on the
whole space for bounded interaction force kernels by utilizing a compactness
convergence argument to treat the nonlinearity as well as a Moser iteration.
Moreover, we prove a quantitative estimate in probability with arbitrary
algebraic rate between the approximative interacting particle systems and the
approximative McKean-Vlasov SDEs, which implies propagation of chaos for the
interacting particle systems.
