Stability of translating solutions to mean curvature flow

Julie Faye Clutterbuck, Felix Schulze, Oliver Schnuerer

Research output: Contribution to journalArticleResearchpeer-review

63 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)281-293
Number of pages13
JournalCalculus of Variations and Partial Differential Equations
Volume29
Issue number3
DOIs
Publication statusPublished - 1 Jul 2007

Keywords

  • Mean curvature flow
  • Stability
  • Translating solutions

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