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

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We 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.
18 pages, LaTeX

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Analysis of PDEs, Mathematical Physics, 35A07; 35Q72; 35Q40; 82C22

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http://salesiana.dossiersoluciones.com/handle/123456789/98253

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407028
 http://arxiv.org/abs/math/0407028
 Electron. J. Differential Equations 2005, no. 01, 17 pp.

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