Mean curvature flow of contractions between Euclidean spaces

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Mean curvature flow of contractions between Euclidean spaces. / Lubbe, Felix.

I: Calculus of Variations and Partial Differential Equations, Bind 55, Nr. 4, 104, 01.08.2016.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Lubbe, F 2016, 'Mean curvature flow of contractions between Euclidean spaces', Calculus of Variations and Partial Differential Equations, bind 55, nr. 4, 104. https://doi.org/10.1007/s00526-016-1043-2

APA

Lubbe, F. (2016). Mean curvature flow of contractions between Euclidean spaces. Calculus of Variations and Partial Differential Equations, 55(4), [104]. https://doi.org/10.1007/s00526-016-1043-2

Vancouver

Lubbe F. Mean curvature flow of contractions between Euclidean spaces. Calculus of Variations and Partial Differential Equations. 2016 aug. 1;55(4). 104. https://doi.org/10.1007/s00526-016-1043-2

Author

Lubbe, Felix. / Mean curvature flow of contractions between Euclidean spaces. I: Calculus of Variations and Partial Differential Equations. 2016 ; Bind 55, Nr. 4.

Bibtex

@article{8fe6d1d152cd488ab1be3c4284dec1db,
title = "Mean curvature flow of contractions between Euclidean spaces",
abstract = "We consider the mean curvature flow of the graphs of maps between Euclidean spaces of arbitrary dimension. If the initial map is Lipschitz and satisfies a length-decreasing condition, we show that the mean curvature flow has a smooth long-time solution for t> 0. Further, we prove uniform decay estimates for the mean curvature vector and for all higher-order derivatives of the defining map.",
keywords = "53A07, 53C42, Primary 53C44",
author = "Felix Lubbe",
year = "2016",
month = aug,
day = "1",
doi = "10.1007/s00526-016-1043-2",
language = "English",
volume = "55",
journal = "Calculus of Variations and Partial Differential Equations",
issn = "0944-2669",
publisher = "Springer",
number = "4",

}

RIS

TY - JOUR

T1 - Mean curvature flow of contractions between Euclidean spaces

AU - Lubbe, Felix

PY - 2016/8/1

Y1 - 2016/8/1

N2 - We consider the mean curvature flow of the graphs of maps between Euclidean spaces of arbitrary dimension. If the initial map is Lipschitz and satisfies a length-decreasing condition, we show that the mean curvature flow has a smooth long-time solution for t> 0. Further, we prove uniform decay estimates for the mean curvature vector and for all higher-order derivatives of the defining map.

AB - We consider the mean curvature flow of the graphs of maps between Euclidean spaces of arbitrary dimension. If the initial map is Lipschitz and satisfies a length-decreasing condition, we show that the mean curvature flow has a smooth long-time solution for t> 0. Further, we prove uniform decay estimates for the mean curvature vector and for all higher-order derivatives of the defining map.

KW - 53A07

KW - 53C42

KW - Primary 53C44

UR - http://www.scopus.com/inward/record.url?scp=84979656135&partnerID=8YFLogxK

U2 - 10.1007/s00526-016-1043-2

DO - 10.1007/s00526-016-1043-2

M3 - Journal article

AN - SCOPUS:84979656135

VL - 55

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

SN - 0944-2669

IS - 4

M1 - 104

ER -

ID: 233725687