Uniqueness theorems for non-compact mean curvature flow with possibly unbounded curvatures
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In this paper, we discuss uniqueness and backward uniqueness for mean curvature flow of non-compact manifolds. We use an energy argument to prove two uniqueness theorems for mean curvature flow with possibly unbounded curvatures. These generalize the results in [5]. Using similar method, we also obtain a uniqueness result on Ricci flows. A backward uniqueness theorem is also proved for mean curvature flow with bounded curvatures.
Original language | English |
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Journal | Communications in Analysis and Geometry |
Volume | 29 |
Issue number | 6 |
Pages (from-to) | 1475-1508 |
ISSN | 1019-8385 |
DOIs | |
Publication status | Published - 2021 |
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