On classical solutions of the relativistic Vlasov-Klein-Gordon system

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dc.contributor.authorKunzinger, Michael
dc.contributor.authorRein, Gerhard
dc.contributor.authorSteinbauer, Roland
dc.contributor.authorTeschl, Gerald
dc.date.accessioned2021-05-17T20:31:45Z
dc.date.available2021-05-17T20:31:45Z
dc.date.issued2005-01-02
dc.description.abstractWe 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationKunzinger, M., Rein, G., Steinbauer, R., & Teschl, G. (2005). On classical solutions of the relativistic Vlasov-Klein-Gordon system. Electronic Journal of Differential Equations, 2005(01), pp. 1-17.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13572
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectVlasov equation
dc.subjectKlein-Gordon equation
dc.subjectClassical solutions
dc.titleOn classical solutions of the relativistic Vlasov-Klein-Gordon system
dc.typeArticle

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