Title: Global small solutions of the Vlasov-Maxwell system in the absence of incoming radiation

Authors: Simone Calogero

Issue: Volume 53 (2004), Issue 5, 1331-1364


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.