Non-local functionals, total variation, and Gamma-convergence with respect to area-strict convergence
Functional Analysis
2026-01-08 v2
Abstract
We study a class of non-local functionals that was introduced by Brezis--Seeger--Van Schaftingen--Yung, and can be used to characterize the total variation of functions. We establish the -limit of these functionals with respect to area-strict convergence.
Keywords
Cite
@article{arxiv.2502.06613,
title = {Non-local functionals, total variation, and Gamma-convergence with respect to area-strict convergence},
author = {Panu Lahti and Zhuolin Li},
journal= {arXiv preprint arXiv:2502.06613},
year = {2026}
}