On the variational nature of the Anzellotti pairing
Functional Analysis
2024-10-11 v2
Abstract
In this paper we prove that the Anzellotti pairing can be regarded as a relaxed functional with respect to the weak* convergence in the space BV of functions of bounded variation. The crucial tool is a preliminary integral representation of this pairing by means of suitable cylindrical averages.
Keywords
Cite
@article{arxiv.2207.06469,
title = {On the variational nature of the Anzellotti pairing},
author = {Graziano Crasta and Virginia De Cicco},
journal= {arXiv preprint arXiv:2207.06469},
year = {2024}
}
Comments
19 pages