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Short time diffusion properties of inhomogeneous kinetic equations with fractional collision Kernel

Hérau, Frédéric; Tonon, Daniela; Tristani, Isabelle (2017), Short time diffusion properties of inhomogeneous kinetic equations with fractional collision Kernel. https://basepub.dauphine.fr/handle/123456789/17563

Type
Document de travail / Working paper
External document link
https://hal.archives-ouvertes.fr/hal-01596009
Date
2017
Series title
Cahier de recherche CEREMADE, Université Paris-Dauphine
Pages
33
Metadata
Show full item record
Author(s)
Hérau, Frédéric
Laboratoire de Mathématiques Jean Leray [LMJL]
Tonon, Daniela
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Tristani, Isabelle
Département de Mathématiques et Applications - ENS Paris [DMA]
Abstract (EN)
We prove regularization properties in short time for inhomogeneous kinetic equations whose collision kernel behaves like a fractional power of the Laplacian in velocity. We treat a fractional Kolmogorov equation and the linearized Boltzmann equation without cutoff (for hard potentials).
Subjects / Keywords
inhomogeneous kinetic equations; Laplacian

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