End-time regularity theorem for Brakke flow

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• Yoshihiro Tonegawa (Tokyo Institute of Technology)
• Monday 31 October 2022, 14:45-15:45
• CMS, MR13.

If you have a question about this talk, please contact Daniel Boutros.

Brakke’s local regularity theorem says that, if a Brakke flow is close to a multiplicity-one plane in space-time, then the flow is regular in the interior. This interior did not contain the end-time, which was not natural for a parabolic problem. I present the improved version which gives the up-to-the-end-time regularity (joint with Salvatore Stuvard). In particular, it shows the regularity of Brakke flow at a point with Gaussian density close to one, generalizing a well-known result of Brian White.

This talk is part of the Partial Differential Equations seminar series.

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