English

Regularity estimates and open problems in kinetic equations

Analysis of PDEs 2022-04-14 v1

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.

Keywords

Cite

@article{arxiv.2204.06401,
  title  = {Regularity estimates and open problems in kinetic equations},
  author = {Luis Silvestre},
  journal= {arXiv preprint arXiv:2204.06401},
  year   = {2022}
}

Comments

Barrett lectures 2021

R2 v1 2026-06-24T10:47:00.981Z