Uniqueness theorems for non-compact mean curvature flow with possibly unbounded curvatures
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Uniqueness theorems for non-compact mean curvature flow with possibly unbounded curvatures. / Lee, Man Chun; Ma, John Man Shun.
I: Communications in Analysis and Geometry, Bind 29, Nr. 6, 2021, s. 1475-1508.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Uniqueness theorems for non-compact mean curvature flow with possibly unbounded curvatures
AU - Lee, Man Chun
AU - Ma, John Man Shun
N1 - Publisher Copyright: © 2021 International Press of Boston, Inc.. All rights reserved.
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85123712930&partnerID=8YFLogxK
U2 - 10.4310/CAG.2021.v29.n6.a6
DO - 10.4310/CAG.2021.v29.n6.a6
M3 - Journal article
AN - SCOPUS:85123712930
VL - 29
SP - 1475
EP - 1508
JO - Communications in Analysis and Geometry
JF - Communications in Analysis and Geometry
SN - 1019-8385
IS - 6
ER -
ID: 291670712