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

Hérau, Frédéric; Tonon, Daniela; Tristani, Isabelle

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

Metadata

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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