On the properties of the set where a generalized function of bounded variation takes infinite value
Analysis of PDEs
2024-02-21 v1
Abstract
We study the properties of the set where a generalized function of bounded variation has infinite approximate limit, highlighting in this way the main geometric difference with functions of bounded variation. To this aim we prove a new result on strict approximation of sets of finite perimeter from the outside with open sets.
Keywords
Cite
@article{arxiv.2402.13078,
title = {On the properties of the set where a generalized function of bounded variation takes infinite value},
author = {Alessandro Cucinotta},
journal= {arXiv preprint arXiv:2402.13078},
year = {2024}
}