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

Prelegent(ci)

Felix Schulze

Afiliacja

University of Warwick

Język referatu

angielski

Termin

16 kwietnia 2025 12:30

Pokój

p. 3170

Seminarium

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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