M. Ponsiglione

activity

20022026

most citedNonlocal curvature flows

82 citations · 143 across the 36 of their papers we have counts for

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Showing 2021 · math.APShow all

2 papers · 2 filters

math.AP2021

The variational approach to $s$ -fractional heat flows and the limit cases $s \to 0^{+}$ and $s \to 1^{-}$

Lucia De Luca, Vito Crismale, Andrea Kubin +2

This paper deals with the limit cases for $s$ -fractional heat flows in a cylindrical domain, with homogeneous Dirichlet boundary conditions, as $s \to 0^{+}$ and $s \to 1^{-}$ \,. To this…

math.AP2021

Convergence of supercritical fractional flows to the mean curvature flow

Lucia De Luca, Andrea Kubin, Marcello Ponsiglione

We consider a core-radius approach to nonlocal perimeters governed by isotropic kernels having critical and supercritical exponents, extending the nowadays classical notion of $s$ -…

The variational approach to s-fractional heat flows and the limit cases s→0+ and s→1−

Convergence of supercritical fractional flows to the mean curvature flow

The variational approach to $s$ -fractional heat flows and the limit cases $s \to 0^{+}$ and $s \to 1^{-}$