A distributional approach to nonlocal curvature flows
Analysis of PDEs
2025-04-09 v1
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 -dimensional Minkowski pre-content.
Cite
@article{arxiv.2504.06162,
title = {A distributional approach to nonlocal curvature flows},
author = {Filippo Cagnetti and Massimiliano Morini and Dario Reggiani},
journal= {arXiv preprint arXiv:2504.06162},
year = {2025}
}