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

Christophe Pallard; Francois Bouchut; Francois Golse

arxiv: math/0301175 · v1 · pith:AEFIEOEVnew · submitted 2003-01-16 · 🧮 math.AP

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

Francois Bouchut , Francois Golse , Christophe Pallard This is my paper

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keywords classicalrelativisticsolutionssystemvlasov-maxwellanalarchbounded

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

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