Geodesic
Initial-boundary value problems for the Vlasov--Poisson equations in a~half-space
Informatics and Automation, Function theory and equations of mathematical physics, Tome 283 (2013), pp. 204-232.

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We consider initial-boundary value problems for the Vlasov–Poisson equations in a half-space that describe evolution of densities for ions and electrons in a rarefied plasma. For sufficiently small initial densities with compact supports and large strength of an external magnetic field, we prove the existence and uniqueness of classical solutions for initial-boundary value problems with different boundary conditions for the electric potential: the Dirichlet conditions, the Neumann conditions, and nonlocal conditions. 
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A. L. Skubachevskii. Initial-boundary value problems for the Vlasov--Poisson equations in a~half-space. Informatics and Automation, Function theory and equations of mathematical physics, Tome 283 (2013), pp. 204-232. http://geodesic.mathdoc.fr/item/TRSPY_2013_283_a13/

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