Short time diffusion properties of inhomogeneous kinetic equations with fractional collision kernel
Analysis of PDEs
2018-04-24 v2
Abstract
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).
Keywords
Cite
@article{arxiv.1709.09943,
title = {Short time diffusion properties of inhomogeneous kinetic equations with fractional collision kernel},
author = {Frédéric Hérau and Daniela Tonon and Isabelle Tristani},
journal= {arXiv preprint arXiv:1709.09943},
year = {2018}
}