Uniqueness of the solution to the Vlasov-Poisson system with bounded density

G. Loeper

In this note, we show uniqueness of weak solutions to the Vlasov-Poisson system on the only condition that the macroscopic density $\rho$ defined by $ρ(t,x) = \int_{\Rd} f(t,x,ξ)dξ$ i…