On the boundedness of the momentum support of solutions to the relativistic Vlasov-Maxwell system Christophe Pallard 35L6035Q6076X0582D1082B40relativistic Vlasov-Maxwell systemclassical solutions We consider classical solutions of the relativistic Vlasov-Maxwell system. Such solutions were shown (see reference below) to exist as long as the momentum support of the distribution function $f$ remains bounded. We show that the size of the momentum support does not blow up provided that an integrability condition on momentum moments of $f$ is fulfilled. Reference: 'Singularity formation in a collisionless plasma could occur only at high velocities' by Robert T. Glassey and Walter A. Strauss (Arch. Rational Mech. Anal. 92 (1986), 59-90). Indiana University Mathematics Journal 2005 text pdf 10.1512/iumj.2005.54.2596 10.1512/iumj.2005.54.2596 en Indiana Univ. Math. J. 54 (2005) 1395 - 1410 state-of-the-art mathematics http://iumj.org/access/