On Classical Solutions of the Relativistic Vlasov-Klein-Gordon System

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dc.creatorKunzinger, Michael
dc.creatorRein, Gerhard
dc.creatorSteinbauer, Roland
dc.creatorTeschl, Gerald
dc.date2004-07-02
dc.date.accessioned2026-07-07T06:30:04Z
dc.date.available2026-07-07T06:30:04Z
dc.descriptionWe consider a collisionless ensemble of classical particles coupled to a Klein-Gordon field. For the resulting nonlinear system of partial differential equations, the relativistic Vlasov-Klein-Gordon system, we prove local-in-time existence of classical solutions and a continuation criterion which says that a solution can blow up only if the particle momenta become large. We also show that classical solutions are global in time in the one-dimensional case.
dc.description18 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0407028
dc.identifierhttp://arxiv.org/abs/math/0407028
dc.identifierElectron. J. Differential Equations 2005, no. 01, 17 pp.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98253
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35A07; 35Q72; 35Q40; 82C22
dc.titleOn Classical Solutions of the Relativistic Vlasov-Klein-Gordon System
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