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Brief communications Nonlocal Problems for the Vlasov–Poisson Equations in an Infinite Cylinder A. L. Skubachevskii Peoples Friendship University of Russia, Moscow Abstract: The Vlasov–Poisson equations with an external magnetic field in an infinite cylinder for a two-component high-temperature plasma with initial conditions on the distribution densities of charged particles and nonlocal boundary condition on the electric field potential are considered. For sufficiently small initial distribution densities, the existence and uniqueness of a classical solution for which the distribution densities of charged particles are supported on an inner cylinder are proved. Keywords: Vlasov–Poisson equations, nonlocal problems
DOI: https://doi.org/10.4213/faa3200   Full text:
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English version: Functional Analysis and Its Applications, 2015, 49:3, Bibliographic databases:   
UDC: 517.9 Received: 05.09.2014 Citation: A. L. Skubachevskii, “Nonlocal Problems for the Vlasov–Poisson Equations in an Infinite Cylinder”, Funktsional. Anal. i Prilozhen., 49:3 (2015), 
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