English

Regularity for rough hypoelliptic equations

Analysis of PDEs 2022-09-19 v1

Abstract

We present a general approach to obtain a weak Harnack inequality for rough hypoellipitic equations, e.g. kinetic equations. The proof is constructive and does not study the commutator structure but rather compares the rough solution with a smooth problem for which the estimates are assumed.

Keywords

Cite

@article{arxiv.2209.08077,
  title  = {Regularity for rough hypoelliptic equations},
  author = {Helge Dietert and Jonas Hirsch},
  journal= {arXiv preprint arXiv:2209.08077},
  year   = {2022}
}

Comments

19p. Comments welcome

R2 v1 2026-06-28T01:28:12.648Z