Characterization of sets of finite local and non-local perimeter via non-local heat equation
Abstract In this paper we provide a characterization of sets with finite local and non-local perimeter via a Γ-convergence result. As an application, we give a short proof of the isoperimetric inequality, both in the local and in the non-local cases.
Authors
- Domenico Angelo La Manna (ORCID: https://orcid.org/0000-0003-1900-2025)
- Andrea Kubin (ORCID: https://orcid.org/0000-0001-5993-2935)
Institutions
- Statistics Finland (FI)
- University of Naples Federico II (IT)
- University of Jyväskylä (FI)
Publication Details
- Journal
- Advances in Calculus of Variations
- Published
- 2025-05-29
- DOI
- https://doi.org/10.1515/acv-2024-0104
- Citations
- 3
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 4.51