Stability of translating solutions to mean curvature flow

Clutterbuck, Julie; Schnürer, Oliver C.; Schulze, Felix

Stability of translating solutions to mean curvature flow

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Date

2007

Authors

Clutterbuck, Julie

Schnürer, Oliver C.

Schulze, Felix

DOI (citable link)

10.1007/s00526-006-0033-1

Collections

Mathematik und Statistik

Publication type

Journal article

Publication status

Published

Published in

Calculus of Variations and Partial Differential Equations ; 29 (2007), 3. - pp. 281-293. - ISSN 0944-2669. - eISSN 1432-0835

Abstract

We prove stability of rotationally symmetric translating solutions to mean curvature flow. For initial data that converge spatially at infinity to such a soliton, we obtain convergence for large times to that soliton without imposing any decay rates.

Subject (DDC)

510 Mathematics

Cite This

ISO 690

CLUTTERBUCK, Julie, Oliver C. SCHNÜRER, Felix SCHULZE, 2007. Stability of translating solutions to mean curvature flow. In: Calculus of Variations and Partial Differential Equations. 29(3), pp. 281-293. ISSN 0944-2669. eISSN 1432-0835. Available under: doi: 10.1007/s00526-006-0033-1

BibTex

@article{Clutterbuck2007-04-26Stabi-41148,
  year={2007},
  doi={10.1007/s00526-006-0033-1},
  title={Stability of translating solutions to mean curvature flow},
  number={3},
  volume={29},
  issn={0944-2669},
  journal={Calculus of Variations and Partial Differential Equations},
  pages={281--293},
  author={Clutterbuck, Julie and Schnürer, Oliver C. and Schulze, Felix}
}

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