Classical solutions for the Vlasov–Poisson system with damping term

Abstract

ABSTRACTWe investigate global existence of classical solution to the three dimensional Vlasov–Poisson system with radiation damping . We prove that a small perturbation of initial datum for a global classical solution verifying certain decay conditions also launches a global solution which has sharp decay. In addition, we prove that a quasineutral initial datum launches a global classical solution.