Uniqueness theorems for non-compact mean curvature flow with possibly unbounded curvatures

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Uniqueness theorems for non-compact mean curvature flow with possibly unbounded curvatures. / Lee, Man Chun; Ma, John Man Shun.

In: Communications in Analysis and Geometry, Vol. 29, No. 6, 2021, p. 1475-1508.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Lee, MC & Ma, JMS 2021, 'Uniqueness theorems for non-compact mean curvature flow with possibly unbounded curvatures', Communications in Analysis and Geometry, vol. 29, no. 6, pp. 1475-1508. https://doi.org/10.4310/CAG.2021.v29.n6.a6

APA

Lee, M. C., & Ma, J. M. S. (2021). Uniqueness theorems for non-compact mean curvature flow with possibly unbounded curvatures. Communications in Analysis and Geometry, 29(6), 1475-1508. https://doi.org/10.4310/CAG.2021.v29.n6.a6

Vancouver

Lee MC, Ma JMS. Uniqueness theorems for non-compact mean curvature flow with possibly unbounded curvatures. Communications in Analysis and Geometry. 2021;29(6):1475-1508. https://doi.org/10.4310/CAG.2021.v29.n6.a6

Author

Lee, Man Chun ; Ma, John Man Shun. / Uniqueness theorems for non-compact mean curvature flow with possibly unbounded curvatures. In: Communications in Analysis and Geometry. 2021 ; Vol. 29, No. 6. pp. 1475-1508.

Bibtex

@article{b28dee86628c4c12bfc218a67ce26db2,

title = "Uniqueness theorems for non-compact mean curvature flow with possibly unbounded curvatures",

abstract = "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.",

author = "Lee, {Man Chun} and Ma, {John Man Shun}",

year = "2021",

doi = "10.4310/CAG.2021.v29.n6.a6",

language = "English",

volume = "29",

pages = "1475--1508",

journal = "Communications in Analysis and Geometry",

issn = "1019-8385",

publisher = "International Press",

number = "6",

}

RIS

TY - JOUR

T1 - Uniqueness theorems for non-compact mean curvature flow with possibly unbounded curvatures

AU - Lee, Man Chun

AU - Ma, John Man Shun

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

Department of Mathematical Sciences