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Study extends a distributional approach for nonlocal curvature flows, suggesting new applications in geometry.
In {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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Cagnetti et al. (2026) studied this question.
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