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arXiv · 2406.14950

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

Andrea Kubin·Domenico Angelo La Manna
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Abstract

In this paper we provide a characterization of sets of finite local and non local perimeter via a $\Gamma-$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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Andrea Kubin, Domenico Angelo La Manna. 2024-06-21. Characterization of sets of finite local and non local perimeter via non local heat equation. https://arxiv.org/abs/2406.14950

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