Geometric Analysis
August 16, 2021 CDT

Mean curvature flow with boundary

https://doi.org/10.15781/vks5-5e33
boundary regularitymean curvature flow53c44 (primary) 49q20 (secondary )math.dg (mathematics - differential geometry)
ccby-4.0
White, Brian. 2021. “Mean Curvature Flow with Boundary.” Ars Inveniendi Analytica, August. https:/​/​doi.org/​10.15781/​vks5-5e33.

Abstract

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We develop a theory of surfaces with boundary moving by mean curvature flow. In particular, we prove a general existence theorem by elliptic regularization, and we prove boundary regularity at all positive times under very mild hypotheses.

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