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Weak solutions of the initial-boundary value problem for the Vlasov-Poisson system. (English) Zbl 0806.35172
Summary: We show the existence of a weak solution of the boundary value problem for the time dependent Vlasov-Poisson system. First, we regularize the system in order to apply a fixed-point theorem. Then we pass to the limit using an energy estimate.

35Q60 PDEs in connection with optics and electromagnetic theory
35D05 Existence of generalized solutions of PDE (MSC2000)
85A05 Galactic and stellar dynamics
78A35 Motion of charged particles
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