Nonlocal Functionals, Total Variation, and \(\Gamma\)-Convergence with Respect to Area-Strict Convergence
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 $Γ$-limit of these functionals with respect to area-strict convergence.
Authors
- Panu Lahti (ORCID: https://orcid.org/0000-0002-1058-1625)
- Zhuolin Li (ORCID: https://orcid.org/0000-0003-3104-9571)
Institutions
- Max Planck Institute for Mathematics in the Sciences (DE)
- Max Planck Institute for Mathematics (DE)
- Academy of Mathematics and Systems Science (CN)
Publication Details
- Journal
- SIAM Journal on Mathematical Analysis
- Published
- 2026-05-27
- DOI
- https://doi.org/10.1137/25m1739522
- Primary Topic
- Approximation Theory and Sequence Spaces
- Type
- preprint
- Field-Weighted Citation Impact
- 0.00