On formulae decoupling the total variation of BV functions
Functional Analysis
2017-03-28 v2 Classical Analysis and ODEs
Abstract
In this paper we prove several formulae that enable one to capture the singular portion of the measure derivative of a function of bounded variation as a limit of non-local functionals. One special case shows that rescalings of the fractional Laplacian of a function converge strictly to the singular portion of .
Cite
@article{arxiv.1603.08663,
title = {On formulae decoupling the total variation of BV functions},
author = {Augusto C. Ponce and Daniel Spector},
journal= {arXiv preprint arXiv:1603.08663},
year = {2017}
}
Comments
17 pages