Parabolic Frequency for the MCF
نویسندگان
چکیده
Abstract This paper defines a parabolic frequency for solutions of the heat equation along homothetically shrinking mean curvature flows (MCFs) and proves its monotonicity such flows. As corollary, provides proof backwards uniqueness. Additionally, more general equations on MCF shrinkers, this bounds derivative frequency, which similarly imply
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2023
ISSN: ['1687-0247', '1073-7928']
DOI: https://doi.org/10.1093/imrn/rnad136