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- W2060773302 abstract "This paper deals with existence results for a Vlasov-Poisson system, equipped with an absorbing-type law for the Vlasov equation and a Dirichlet-type boundary condition for the Poisson part. Using the ideas of Lions and Perthame [21], we prove the existence of a weak solution having good Lp estimates for moment and electric field, by a good control on the higher moments of the initial data. As an application, we establish a homogenization result in the Hilbertian framework for this type of problem in non-homogeneous media, following the work by Alexandre and Hamdache [2] for general kinetic equations, and Cioranescu and Mural [11] for the Laplace problem." @default.
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- W2060773302 date "1993-08-01" @default.
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- W2060773302 title "Weak solutions of the Vlasov-Poisson initial boundary value problem" @default.
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- W2060773302 doi "https://doi.org/10.1002/mma.1670160807" @default.
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