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Yoshihiro Tonegawa (Tokyo Institute of Technology)
Monday 31 October 2022, 14:45-15:45
End-time regularity theorem for Brakke flow
- đ¤ Speaker: Yoshihiro Tonegawa (Tokyo Institute of Technology)
- đ Date & Time: Monday 31 October 2022, 14:45 - 15:45
- đ Venue: CMS, MR13
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Daniel Boutros
Abstract
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.
Series This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.
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