$W^{1,1}$ stability for the LSI
Analysis of PDEs
2024-06-04 v1 Mathematical Physics
math.MP
Abstract
The logarithmic Sobolev inequality is fundamental in mathematical physics. Associated stability estimates are equivalent to uncertainty principles. Via a second moment bound, estimates are obtained in one dimension and similar -quantitative estimates are investigated.
Cite
@article{arxiv.2406.00746,
title = {$W^{1,1}$ stability for the LSI},
author = {Emanuel Indrei},
journal= {arXiv preprint arXiv:2406.00746},
year = {2024}
}