In Chambolle et al. 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 (Formula presented.) -dimensional Minkowski pre-content.
A distributional approach to nonlocal curvature flows / Cagnetti, F., Morini, M., Reggiani, D.. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - 51:2-3(2026), pp. 364-413. [10.1080/03605302.2026.2686646]
A distributional approach to nonlocal curvature flows
Cagnetti, F.
;Morini, M.;
2026-01-01
Abstract
In Chambolle et al. 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 (Formula presented.) -dimensional Minkowski pre-content.File in questo prodotto:
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