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Special Solutions and Global Behaviour

  • Klaus Ecker
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 57)

Abstract

Definition 2.1 (Mean Curvature Flow) A family of smoothly embedded hypersurfaces (Mt)tI in R n +1 moves by mean curvature if
$$ \frac{{\partial x}} {{\partial t}} = \vec H(x) $$
(2.1)
for xMt and tI, I ⊂ R an open interval. Here \( \vec H(x) \) is the mean curvature vector at xMt.

Keywords

Curvature Flow Special Solution Global Behaviour Curvature Vector Regularity Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Klaus Ecker
    • 1
  1. 1.Fachbereich für Mathematik und InformatikFreie Universität BerlinBerlinGermany

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