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Classical Solutions and the Glassey-Strauss Theorem for the 3D Vlasov-Maxwell System

Authors:	Fran?ois?Bouchut Email author" target="_blank">Fran?ois?Golse Email author Christophe?Pallard

Institution:	(1) CNRS, & Département de Mathématiques et Applications, Ecole Normale Supérieure, 45 rue dUlm, F75230, Paris cedex 05;(2) Institut Universitaire de France & Laboratoire Jacques-Louis Lions, Université Paris VI, 175 rue du Chevaleret, F75013, Paris;(3) Département de Mathématiques et Applications, Ecole Normale Supérieure, 45 rue dUlm, F75230, Paris cedex 05

Abstract:	R. Glassey and W. Strauss have proved in Arch. Rational Mech. Anal. 92 (1986), 59–90] that C ¹ 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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