Abstract We study the asymptotic behavior of small data solutions to the screened Vlasov–Poisson equation on near vacuum. We show that for dimensions , under mild assumptions on localization (in terms of spatial moments) and regularity (in terms of at most three Sobolev derivatives) solutions scatter freely. In dimension , we obtain a long‐time existence result in analytic regularity.
Iacobelli et al. (Thu,) studied this question.