Optimal constant for the trace inequality in $BV$ for domains with corners
Analysis of PDEs
2026-04-16 v1
Abstract
We determine the explicit value of the optimal constant in the trace inequality for functions of bounded variations in the case the domain has a particular class of singularities.
Cite
@article{arxiv.2604.13770,
title = {Optimal constant for the trace inequality in $BV$ for domains with corners},
author = {Riccardo Cristoferi and Devin van der Gulik},
journal= {arXiv preprint arXiv:2604.13770},
year = {2026}
}