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

Published 28 Sep 2017 in math.AP | (1709.09943v2)

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).

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