On classical solutions to the 3D relativistic Vlasov-Maxwell system: Glassey-Strauss' theorem revisited

Details On classical solutions to the 3D relativistic Vlasov-Maxwell system: Glassey-Strauss' theorem revisited On classical solutions to the 3D relativistic Vlasov-Maxwell system: Glassey-Strauss' theorem revisited

2003-01-16

arxiv.org/abs/math/0301175v1

Mathematics

Analysis of PDEs

17 pages, to be published in Archive for Rational Mechanics and Analysis

Scientific paper

R. Glassey and W. Strauss have proved in [Arch. Rational Mech. Anal. 92
(1986), 59--90] that classical solutions to the relativistic Vlasov-Maxwell
system in three space dimensions do not develop singularities as long as the
support of the distribution function in the momentum variable remains bounded.
The present paper simplifies their proof.

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