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arXiv · 2204.06401

Regularity estimates and open problems in kinetic equations

Luis Silvestre
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Abstract

We survey some new results regarding a priori regularity estimates for the Boltzmann and Landau equations conditional to the boundedness of the associated macroscopic quantities. We also discuss some open problems in the area. In particular, we describe some ideas related to the global well posedness problem for the space-homogeneous Landau equation for Coulomb potentials.

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Luis Silvestre. 2022-04-13. Regularity estimates and open problems in kinetic equations. https://arxiv.org/abs/2204.06401

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