弱中曲率流的二阶导数Hölder估计
A second derivative Hölder estimate for weak mean curvature flow
摘要：
证明了单位密度假设下的Brakke中曲率流在时空中几乎处处光滑。更一般地说，如果速度在弱意义上等于它的中曲率加上某个给定的α-Hölder连续向量场，那么我们几乎处处证明C^{2，α}正则性。
英文摘要：
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.
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