论文标题
平均曲率流的抛物线频率
Parabolic frequency for the mean curvature flow
论文作者
论文摘要
本文定义了沿同种缩小的平均曲率流的热方程解决方案的抛物线频率，并证明了其沿着这样的流量的单调性。作为推论，频率单调性提供了向后唯一性的证明。此外，对于平均曲率流量收缩术上更通用的抛物线方程的溶液，本文提供了频率导数的边界，这同样暗示向后唯一。
This paper defines a parabolic frequency for solutions of the heat equation along homothetically shrinking mean curvature flows and proves its monotonicity along such flows. As a corollary, frequency monotonicity provides a proof of backwards uniqueness. Additionally, for solutions of more general parabolic equations on mean curvature flow shrinkers, this paper provides bounds on the derivative of the frequency, which similarly imply backwards uniqueness.
