Stability of translating solutions to mean curvature flow

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Date
2007
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Clutterbuck, Julie
Schulze, Felix
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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.
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510 Mathematics
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ISO 690CLUTTERBUCK, 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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