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
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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