On Global Existence of Classical Solutions for the Vlasov-Poisson System in Convex Bounded Domains

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

We prove global existence of strong solutions for the Vlasov-Poisson system
in a convex bounded domain in the plasma physics case assuming homogeneous
Dirichlet boundary conditions for the electric potential and the specular
reflection boundary conditions for the distribution density.

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