A Nonlinear Variant of Ball's Inequality
Classical Analysis and ODEs
2024-01-17 v5 Analysis of PDEs
Abstract
We adapt an induction-on-scales argument of Bennett, Bez, Buschenhenke, Cowling, and Flock to establish a global near-monotonicity statement for the nonlinear Brascamp-Lieb functional under a certain heat-flow, from which follows a stability result for the finiteness of global nonlinear Brascamp-Lieb inequalities.
Cite
@article{arxiv.2101.07672,
title = {A Nonlinear Variant of Ball's Inequality},
author = {Jennifer Duncan},
journal= {arXiv preprint arXiv:2101.07672},
year = {2024}
}