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arXiv · 2504.06162

A distributional approach to nonlocal curvature flows

Filippo Cagnetti·Massimiliano Morini·Dario Reggiani
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Abstract

In \cite{CMP17} a novel distributional approach has been introduced to provide a well-posed formulation of a class of crystalline mean curvature flows. In this paper, such an approach is extended to the nonlocal setting. Applications include the fractional mean curvature flow and the Minkowski flow; i.e., the geometric flow generated by the $(N-1)$-dimensional Minkowski pre-content.

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Filippo Cagnetti, Massimiliano Morini, Dario Reggiani. 2025-04-08. A distributional approach to nonlocal curvature flows. https://arxiv.org/abs/2504.06162

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