Quantitative Schauder estimates for hypoelliptic equations
Analysis of PDEs
2025-09-30 v2
Abstract
We derive Schauder estimates using ideas from Campanato's approach for a general class of local hypoelliptic operators and non-local kinetic equations. The method covers equations in divergence and non-divergence form. In particular our results are applicable to the inhomogeneous Landau and to the non-cutoff Boltzmann equation. The paper is self-contained.
Cite
@article{arxiv.2305.00463,
title = {Quantitative Schauder estimates for hypoelliptic equations},
author = {Amélie Loher},
journal= {arXiv preprint arXiv:2305.00463},
year = {2025}
}
Comments
54 pages. Revised version