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.
Origin : Files produced by the author(s)
Loading...