Stability estimates for the Vlasov-Poisson system in $p$-kinetic Wasserstein distances

Mikaela Iacobelli, Jonathan Junné

We extend Loeper's $L^2$-estimate relating the electric fields to the densities for the Vlasov-Poisson system to $L^p$, with $1<p<+\infty$, based on the Helmholtz-Weyl decompos…