Research profile

Stephen Cameron

Works on anisotropic & nonlocal flows, weak & singular flows and other curvature flows.

NP-RC-3302280000-0002-1647-0387

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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2019

math.APWider flowsarXiv:1905.09184

Eventual Regularization of Fractional Mean Curvature Flow

Stephen Cameron

We show that any open set that is a finite distance away from a Lipschitz subgraph will become a Lipschitz subgraph after flowing under fractional mean curvature flow for a finite, universal time. Our proof is quantitative and inherently nonlocal, as the corresponding statement is false for classical mean curvature flow. This is the first regularizing effect proven for weak solutions to nonlocal curvature flow.

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