出版日期：2024-05-01 00:00:00

著者：Julius Baldauf, Pak Tung Ho, and Tang-Kai Lee

著錄名稱、卷期、頁數：International Mathematics Research Notices 2024(10),　p.8122-8136

摘要：This paper defines a parabolic frequency for solutions of the heat equation along homothetically shrinking mean curvature flows (MCFs) 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 MCF shrinkers, this paper provides bounds on the derivative of the frequency, which similarly imply backwards uniqueness.

語言：en

ISSN：1687-0247

期刊性質：國外

收錄於：SCI

審稿制度：否

國別：USA

出版型式：電子版