Calculus of Variations and Geometric Measure Theory

A. Kubin - D. A. La Manna

Characterization of sets of finite local and non local perimeter via non local heat equation

created by kubin on 24 Jun 2024
modified on 25 Jun 2024

[BibTeX]

Submitted Paper

Inserted: 24 jun 2024
Last Updated: 25 jun 2024

Year: 2024

ArXiv: 2406.14950 PDF

Abstract:

In this paper we provide a characterization of sets of finite local and non local perimeter via a Γ−convergence result. As an application we give a proof of the isoperimetric inequality, both in the local and in the non local case.