The linear theory of Landau damping

The one-dimensional system of Vlasov equations linearized at the stationary solution of the nonlinear system is considered. A rigorous theory of Landau damping is presented. A new integral equation with a shift for the electric field is derived in a more general case, and the uniqueness of its solution is proved. A quasiclassical approximation for the linear system of Vlasov equations is obtained.
Bibliography: 15 titles.