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On the Vlasov-Poisson-Fokker-Planck equation near Maxwellian

✍ Scribed by Hwang, Hyung Ju; Jang, Juhi

Book ID
120409819
Publisher
American Institute of Mathematical Sciences
Year
2013
Tongue
English
Weight
358 KB
Volume
18
Category
Article
ISSN
1531-3492

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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