Kunzinger, MichaelRein, GerhardSteinbauer, RolandTeschl, Gerald2021-05-172021-05-172005-01-02Kunzinger, M., Rein, G., Steinbauer, R., & Teschl, G. (2005). On classical solutions of the relativistic Vlasov-Klein-Gordon system. <i>Electronic Journal of Differential Equations, 2005</i>(01), pp. 1-17.1072-6691https://hdl.handle.net/10877/13572We consider a collisionless ensemble of classical particles coupled with 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.Text17 pages1 file (.pdf)enAttribution 4.0 InternationalVlasov equationKlein-Gordon equationClassical solutionsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.