Global regularity estimates for the Boltzmann equation without cut-off

Imbert, Cyril; Silvestre, Luis

doi:10.1090/jams/986

Global regularity estimates for the Boltzmann equation without cut-off
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by Cyril Imbert and Luis Enrique Silvestre

J. Amer. Math. Soc. 35 (2022), 625-703

DOI: https://doi.org/10.1090/jams/986

Published electronically: September 10, 2021

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Abstract:

We derive $C^\infty$ a priori estimates for solutions of the inhomogeneous Boltzmann equation without cut-off, conditional to pointwise bounds on their mass, energy and entropy densities. We also establish decay estimates for large velocities, for all derivatives of the solution.

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