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arxiv: 1710.09989 · v4 · pith:RYHKST4Rnew · submitted 2017-10-27 · 🧮 math.DG · math.AP

Regularity and stability results for the level set flow via the mean curvature flow with surgery

classification 🧮 math.DG math.AP
keywords flowlevelregularitycurvaturemeanstabilitysurgeryallowing
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In this article we use the mean curvature flow with surgery to derive regularity estimates for the level set flow going past Brakke regularity in certain special conditions allowing for 2-convex regions of high density. We also show a stability result for the plane under the level set flow.

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