Entropy flows and functional inequalities in convex sets
Analysis of PDEs
2021-12-28 v2
Abstract
We revisit entropy methods to prove new sharp trace logarithmic Sobolev and sharp Gagliardo-Nirenberg-Sobolev inequalities on the half space, with a focus on the entropy inequality itself and not the actual flow, allowing for somewhat robust and self-contained proofs.
Cite
@article{arxiv.2001.02578,
title = {Entropy flows and functional inequalities in convex sets},
author = {Simon Zugmeyer},
journal= {arXiv preprint arXiv:2001.02578},
year = {2021}
}