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math.AP2024★ 1 cited
Second-order asymptotics of fractional Gagliardo seminorms as and convergence of the associated gradient flows
Andrea Kubin, Valerio Pagliari, Antonio Tribuzio
We study the second-order asymptotic expansion of the -fractional Gagliardo seminorm as in terms of a higher order nonlocal functional. We prove a Mosco-convergence re…
math.AP2024
Characterization of sets of finite local and non local perimeter via non local heat equation
Andrea Kubin, Domenico Angelo La Manna
In this paper we provide a characterization of sets of finite local and non local perimeter via a convergence result. As an application we give a proof of the isoperimetric ine…