A quantitative averaging lemma for spatially dependent vector fields
Analysis of PDEs
2026-04-20 v1
Abstract
We prove a quantitative averaging lemma for spatially dependent vector fields. Our proof is based on an iteration of the regularizing operator and some elementary considerations about the local inversion theorem.
Keywords
Cite
@article{arxiv.2604.15884,
title = {A quantitative averaging lemma for spatially dependent vector fields},
author = {Paul Alphonse and Billel Guelmame and Julien Vovelle},
journal= {arXiv preprint arXiv:2604.15884},
year = {2026}
}