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學年
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112 |
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學期
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2 |
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出版（發表）日期
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2024-05-01 |
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作品名稱
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Parabolic frequency for the mean curvature flow |
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作品名稱（其他語言）
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著者
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Julius Baldauf, Pak Tung Ho, and Tang-Kai Lee |
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單位
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出版者
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著錄名稱、卷期、頁數
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International Mathematics Research Notices 2024(10), p.8122-8136 |
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摘要
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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. |
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關鍵字
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語言
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en |
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ISSN
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1687-0247 |
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期刊性質
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國外 |
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收錄於
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SCI
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產學合作
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通訊作者
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審稿制度
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否 |
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國別
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USA |
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公開徵稿
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出版型式
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,電子版 |