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Polynomial propagation of moments and global existence for a Vlasov-Poisson system with a point charge
Pré-print du CMLA 2013-11 - version du 8 juillet 2013
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Auteurs: Laurent Desvillettes, Evelyne Miot, Chiara Saffirio
Abstract:
In this paper, we extend to the case of initial data constituted of a Dirac mass plus a bounded density (with finite moments) the theory of Lions and Perthame for the Vlasov-Poisson equation.
Our techniques also provide polynomially growing in time estimates for moments of the density.
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