Global small solutions of the Vlasov-Maxwell system in the absence of incoming radiation Simone Calogero 35A0535Q7535B40Vlasov-Maxwell systemglobal existenceincoming radiation We consider a modified version of the Vlasov-Maxwell system in which the usual Maxwell fields are replaced by their retarded parts. We show that solutions of this modified system exist globally for a small initial density of particles, and that they describe a system without incoming radiation. Indiana University Mathematics Journal 2004 text pdf 10.1512/iumj.2004.53.2433 10.1512/iumj.2004.53.2433 en Indiana Univ. Math. J. 53 (2004) 1331 - 1364 state-of-the-art mathematics http://iumj.org/access/