A second derivative Hölder estimate for weak mean curvature flow

Abstract

We give a proof that Brakke's mean curvature flow under the unit density assumption is smooth almost everywhere in space-time. More generally, if the velocity is equal in a weak sense to its mean curvature plus some given α-Hölder continuous vector field, then we show C^{2,α} regularity almost everywhere.

32 pages

References in corpus (1)

• A general regularity theory for weak mean curvature flow

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