The Lipschitz truncation of functions of bounded variation
Analysis of PDEs
2019-08-29 v1
Abstract
We construct a Lipschitz truncation which approximates functions of bounded variation in the area-strict metric. The Lipschitz truncation changes the original function only on a small set similar to Lusin's theorem. Previous results could only give estimates on the Lebesgue measure of the set where the Lipschitz approximations differ from the original function.
Cite
@article{arxiv.1908.10655,
title = {The Lipschitz truncation of functions of bounded variation},
author = {Dominic Breit and Lars Diening and Franz Gmeineder},
journal= {arXiv preprint arXiv:1908.10655},
year = {2019}
}