S. MANCINI and S. TOTARO
Solutions of the Vlasov equation in a slab with source terms on the boundaries
Received: 14 December 1998
Revised: 15 February 1999
Mathematics Subject Classification: 47D06 - 47H20
Abstract: We consider the one-dimensional Vlasov equation in a slab with source terms on the boundaries. The study is based on the techniques of analysis for elliptic operators and the theory of semigroups of linear and affine operators. Existence and uniqueness of the solution of the problem are proved and an approximation to this solution is also given.