Addendum: Boundary value problems for the Vlasov-Maxwell equation in one dimension
This paper is an addendum to our paper [ibid. 75, 306-329 (1980; Zbl 0454.35075)] in which we discussed the existence and uniqueness of solutions of the initial value problem for the Vlasov-Maxwell system of equations in one space dimension. These equations are used to model longitudinal oscillations of a plasma when the ions are considered a stable background. We shall study a boundary value problem for periodic solutions of the Vlasov-Poisson system and determine how its solutions are related to the solutions of the Vlasov-Maxwell system. Our results will be valid for generalized solutions of either the Vlasov-Poisson system or the Vlasov- Maxwell system.
scientific article; zbMATH DE number 3910936