The Vlasov-Poisson equation in ${\mathbb{R}}^3$ with infinite charge and velocities

Silvia Caprino, Guido Cavallaro, Carlo Marchioro

We consider the Vlasov-Poisson equation in ${\mathbb{R}}^3$ with initial data which are not $L^1$ in space and have unbounded support in the velocities. Assuming for the density a sl…