Moment Propagation for Weak Solutions to the Vlasov–Poisson System

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Mean Field Limit and Propagation of Chaos for Vlasov Systems with Bounded Forces (2015, background): “…existence of weak solutions was obtained in [3] but global existence of strong solutions in dimension 3 had long been diﬃcult (see [4] for small initial data) before being obtained in [44]-[43] and concurrently in [36] through the propagation of moments (see also [42] for more recent estimates).”
A review of the mean field limits for Vlasov equations (2014, methodology): “The periodic case is handled in [134] with a new method completing [13].”