L-infinity-estimates for the Vlasov-Poisson-Fokker-Planck equation

Authors
Pulvirenti, M Simeoni, C
Citation
M. Pulvirenti et C. Simeoni, L-infinity-estimates for the Vlasov-Poisson-Fokker-Planck equation, MATH METH A, 23(10), 2000, pp. 923-935
Citations number
14
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN journal
01704214 → ACNP
Volume
23
Issue
10
Year of publication
2000
Pages
923 - 935
Database
ISI
SICI code
0170-4214(20000710)23:10<923:LFTVE>2.0.ZU;2-G
Abstract
We consider the Vlasov-Poisson-Fokker-Planck equation in three dimensions a s the backward Kolmogorov equation associated to a non-linear diffusion pro cess. In this way we derive new L-infinity-estimates on the spatial density which are uniform in the diffusion parameters. Copyright (C) 2000 John Wil ey & Sons. Ltd.