A distributional approach to nonlocal curvature flows

Abstract

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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