Communications in Mathematical Sciences

Volume 7 (2009)

Number 1

Dispersion and uniform L1-stability estimates of the Vlasov-Poisson system in a half space

Pages: 189 – 209

DOI: http://dx.doi.org/10.4310/CMS.2009.v7.n1.a10

Authors

Myeongju Chae

Seung-Yeal Ha

Hyung Ju Hwang

Abstract

We study explicit dispersion and uniform L1-stability estimates to the Vlasov-Poisson system for a collisionless plasma in a half space, when the initial data is sufficiently small and decays fast enough in phase space. This extends the previous results on the dispersion and stability estimates for the whole space case.

Keywords

Dispersion estimates; initial-boundary value problem; Vlasov-Poisson system; uniform L1-stability

2010 Mathematics Subject Classification

35B65, 78A35

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