Local Existence and Uniqueness of a Mild Solution to the One Dimensional Vlasov-Poisson System with an Initial Condition of Bounded Variation - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 2009

Local Existence and Uniqueness of a Mild Solution to the One Dimensional Vlasov-Poisson System with an Initial Condition of Bounded Variation

Abstract

We propose a result of local existence and uniqueness of a mild solution to the one-dimensional Vlasov-Poisson system. We establish the result for an initial condition lying in the Sobolev space of integrable functions with integrable derivatives, then we extend it to initial conditions lying in the space of functions of bounded variation, without any assumption of continuity, boundedness or compact support.
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Dates and versions

inria-00389829 , version 1 (29-05-2009)

Identifiers

  • HAL Id : inria-00389829 , version 1

Cite

Simon Labrunie, Sandrine Marchal, Jean Rodolphe Roche. Local Existence and Uniqueness of a Mild Solution to the One Dimensional Vlasov-Poisson System with an Initial Condition of Bounded Variation. [Research Report] RR-6946, INRIA. 2009, pp.14. ⟨inria-00389829⟩
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