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Invariant Manifolds and Long-Time Asymptotics for the Vlasov--Poisson--Fokker--Planck Equation

✍ Scribed by Kagei, Yoshiyuki

Book ID
118200003
Publisher
Society for Industrial and Applied Mathematics
Year
2001
Tongue
English
Weight
236 KB
Volume
33
Category
Article
ISSN
0036-1410

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## Abstract Let us consider a solution __f__(__x__,__v__,__t__)ϵ__L__^1^(ℝ^2N^ × [0,__T__]) of the kinetic equation equation image where |__v__|^α+1^ __f__~o~,|__v__|^α^ __ϵL__^1^ (ℝ__2N__ × [0, __T__]) for some α< 0. We prove that __f__ has a higher moment than what is expected. Namely, for any b