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arXiv · 1709.09943

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

Frédéric Hérau·Daniela Tonon·Isabelle Tristani
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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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Frédéric Hérau, Daniela Tonon, Isabelle Tristani. 2018-04-23. Short time diffusion properties of inhomogeneous kinetic equations with fractional collision kernel. https://arxiv.org/abs/1709.09943

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