Evolution of Area-Decreasing Maps Between Two-Dimensional Euclidean Spaces

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Evolution of Area-Decreasing Maps Between Two-Dimensional Euclidean Spaces. / Lubbe, Felix.

I: Journal of Geometric Analysis, Bind 28, Nr. 4, 15.12.2018, s. 3928-3949.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Lubbe, F 2018, 'Evolution of Area-Decreasing Maps Between Two-Dimensional Euclidean Spaces', Journal of Geometric Analysis, bind 28, nr. 4, s. 3928-3949. https://doi.org/10.1007/s12220-018-0006-6

APA

Lubbe, F. (2018). Evolution of Area-Decreasing Maps Between Two-Dimensional Euclidean Spaces. Journal of Geometric Analysis, 28(4), 3928-3949. https://doi.org/10.1007/s12220-018-0006-6

Vancouver

Lubbe F. Evolution of Area-Decreasing Maps Between Two-Dimensional Euclidean Spaces. Journal of Geometric Analysis. 2018 dec. 15;28(4):3928-3949. https://doi.org/10.1007/s12220-018-0006-6

Author

Lubbe, Felix. / Evolution of Area-Decreasing Maps Between Two-Dimensional Euclidean Spaces. I: Journal of Geometric Analysis. 2018 ; Bind 28, Nr. 4. s. 3928-3949.

Bibtex

@article{a7b258d2fcd042019d5425ffde57732a,
title = "Evolution of Area-Decreasing Maps Between Two-Dimensional Euclidean Spaces",
abstract = "We consider the mean curvature flow of the graph of a smooth map f: R2→ R2 between two-dimensional Euclidean spaces. If f satisfies an area-decreasing property, the solution exists for all times and the evolving submanifold stays the graph of an area-decreasing map ft. Further, we prove uniform decay estimates for the mean curvature vector of the graph and all higher-order derivatives of the corresponding map ft.",
keywords = "Area-decreasing maps, Euclidean space, Mean curvature flow",
author = "Felix Lubbe",
year = "2018",
month = dec,
day = "15",
doi = "10.1007/s12220-018-0006-6",
language = "English",
volume = "28",
pages = "3928--3949",
journal = "Journal of Geometric Analysis",
issn = "1050-6926",
publisher = "Springer",
number = "4",

}

RIS

TY - JOUR

T1 - Evolution of Area-Decreasing Maps Between Two-Dimensional Euclidean Spaces

AU - Lubbe, Felix

PY - 2018/12/15

Y1 - 2018/12/15

N2 - We consider the mean curvature flow of the graph of a smooth map f: R2→ R2 between two-dimensional Euclidean spaces. If f satisfies an area-decreasing property, the solution exists for all times and the evolving submanifold stays the graph of an area-decreasing map ft. Further, we prove uniform decay estimates for the mean curvature vector of the graph and all higher-order derivatives of the corresponding map ft.

AB - We consider the mean curvature flow of the graph of a smooth map f: R2→ R2 between two-dimensional Euclidean spaces. If f satisfies an area-decreasing property, the solution exists for all times and the evolving submanifold stays the graph of an area-decreasing map ft. Further, we prove uniform decay estimates for the mean curvature vector of the graph and all higher-order derivatives of the corresponding map ft.

KW - Area-decreasing maps

KW - Euclidean space

KW - Mean curvature flow

UR - http://www.scopus.com/inward/record.url?scp=85045133042&partnerID=8YFLogxK

U2 - 10.1007/s12220-018-0006-6

DO - 10.1007/s12220-018-0006-6

M3 - Journal article

AN - SCOPUS:85045133042

VL - 28

SP - 3928

EP - 3949

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

SN - 1050-6926

IS - 4

ER -

ID: 233725579