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

2024/06/21 by Kubin, Andrea, La Manna, Domenico Angelo
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2406.14950

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.

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