On the 3D Relativistic Vlasov-Maxwell System with Large Maxwell Field

This paper is devoted to the study of relativistic Vlasov-Maxwell system in space dimension three. For a class large initial data, we prove global existence classical solution with sharp decay estimates. The Maxwell field allowed be arbitrarily and density distribution assumed small rate $$(1+|x|+|v|)^{-9-}$$ . In particular, there no restriction on support data.