Magnetic BV functions and the Bourgain-Brezis-Mironescu formula
Analysis of PDEs
2017-07-06 v2
Abstract
We prove a general magnetic Bourgain-Brezis-Mironescu formula. In particular, after developing a theory of magnetic bounded variation functions, we prove the validity of the formula in this class.
Keywords
Cite
@article{arxiv.1609.09714,
title = {Magnetic BV functions and the Bourgain-Brezis-Mironescu formula},
author = {Andrea Pinamonti and Marco Squassina and Eugenio Vecchi},
journal= {arXiv preprint arXiv:1609.09714},
year = {2017}
}
Comments
30 pages, to appear on Advances in Calculus of Variations