Misc,

Regularity of elliptic and parabolic systems

, and .
(2019)cite arxiv:1905.00085.

Abstract

We show uniqueness of cylindrical blowups for mean curvature flow in all dimension and all codimension. Mean curvature flow in higher codimension is a nonlinear parabolic system whose complexity increases as the codimension increases. Our results imply regularity of the singular set for the system.

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