Geodesic
The linear theory of Landau damping
Sbornik. Mathematics, Tome 55 (1986) no. 2, pp. 437-465

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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. 
@article{SM_1986_55_2_a7,
     author = {V. P. Maslov and M. V. Fedoryuk},
     title = {The linear theory of {Landau} damping},
     journal = {Sbornik. Mathematics},
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     volume = {55},
     number = {2},
     year = {1986},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1986_55_2_a7/}
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V. P. Maslov; M. V. Fedoryuk. The linear theory of Landau damping. Sbornik. Mathematics, Tome 55 (1986) no. 2, pp. 437-465. http://geodesic.mathdoc.fr/item/SM_1986_55_2_a7/