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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.

MSC:
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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