Entropy flows and functional inequalities in convex sets

2020/01/08 by Simon Zugmeyer, Zugmeyer, Simon
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2001.02578

openalex publication_date 2020/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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