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Regularity for the Vlasov equations in a half space. (English) Zbl 0799.35031
Singularities will generally be created at the boundary for the coupled Vlasov-Poisson or Vlasov-Maxwell systems. However, global classical solutions are constructed for the Vlasov-Poisson system in a half space, if either the particles have the same sign of charge or a neutral plasma reflects specularly at the boundary.

MSC:
35B65 Smoothness and regularity of solutions to PDEs
35A20 Analyticity in context of PDEs
82D10 Statistical mechanical studies of plasmas
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