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 space W1,1(ℝ2), then we extend it to initial conditions lying in the space BV(ℝ2), without any assumption of continuity, boundedness or compact support. Copyright © 2010 John Wiley & Sons, Ltd.
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