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 of large initial data, we prove the global existence of classical solution with sharp decay estimates. The initial Maxwell field is allowed to be arbitrarily large and the initial density distribution is assumed to be small and decay with rate (1+vertical bar x vertical bar+vertical bar v vertical bar)(-9-). In particular, there is no restriction on the support of the initial data.