English

Stability of translating solutions to mean curvature flow

Differential Geometry 2007-05-23 v1 Analysis of PDEs

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.

Keywords

Cite

@article{arxiv.math/0509372,
  title  = {Stability of translating solutions to mean curvature flow},
  author = {Julie Clutterbuck and Oliver C. Schnürer and Felix Schulze},
  journal= {arXiv preprint arXiv:math/0509372},
  year   = {2007}
}

Comments

12 pages, 2 figures