A short proof of Allard's and Brakke's regularity theorems

Speaker(s)

Felix Schulze

Affiliation

University of Warwick

Language of the talk

English

Date

April 16, 2025, 12:30 p.m.

Room

room 3170

Seminar

Seminarium Zakładu Równań i Analizy

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We give new short proofs of Allard’s regularity theorem for varifolds with
bounded first variation and Brakke’s regularity theorem for integral Brakke
flows with bounded forcing. They are based on a decay of flatness, following
from weighted versions of the respective monotonicity formulas, together with
a characterization of non-homogeneous blow-ups using the viscosity approach
introduced by Savin.

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