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- W1504243475 abstract "Theme NUM | Systemes numeriquesEquipe-Projet CalviRapport de recherche n ° 6946 | May 28th 2009 | 14 pagesAbstract: We propose a result of local existence and uniqueness of a mild solu-tion to the one-dimensional Vlasov{Poisson system. We establish the result for aninitial condition lying in the Sobolev space of integrable functions with integrablederivatives, then we extend it to initial conditions lying in the space of functions ofbounded variation, without any assumption of continuity, boundedness or compactsupport.Key-words: Vlasov-Poisson system, bounded variation functions, Banach con-traction mapping principle" @default.
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- W1504243475 date "2009-01-01" @default.
- W1504243475 modified "2023-09-26" @default.
- W1504243475 title "Local Existence and Uniqueness of a Mild Solution to the One Dimensional Vlasov-Poisson System with an Initial Condition of Bounded Variation" @default.
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