L‐estimates for the Vlasov–Poisson–Fokker–Planck equation

M Pulvirenti, C Simeoni - Mathematical methods in the applied …, 2000 - Wiley Online Library
M Pulvirenti, C Simeoni
Mathematical methods in the applied sciences, 2000Wiley Online Library
Abstract We consider the Vlasov–Poisson–Fokker–Planck equation in three dimensions as
the backward Kolmogorov equation associated to a non‐linear diffusion process. In this way
we derive new L∞‐estimates on the spatial density which are uniform in the diffusion
parameters. Copyright© 2000 John Wiley & Sons, Ltd.
Abstract
We consider the Vlasov–Poisson–Fokker–Planck equation in three dimensions as the backward Kolmogorov equation associated to a non‐linear diffusion process. In this way we derive new L‐estimates on the spatial density which are uniform in the diffusion parameters. Copyright © 2000 John Wiley & Sons, Ltd.
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