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Regularity Theory for Mean Curvature Flow /

This work is devoted to the motion of surfaces for which the normal velocity at every point is given by the mean curvature at that point; this geometric heat flow process is called mean curvature flow. Mean curvature flow and related geometric evolution equations are important tools in mathematics a...

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Bibliographic Details
Main Author: Ecker, Klaus
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Boston, MA : Birkhäuser Boston : Imprint : Birkhäuser, 2004.
Series:Progress in nonlinear differential equations and their applications ; 57.
Subjects:
Mathematics.
Differential equations, Partial.
Global differential geometry.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Preface
  • Introduction
  • Special Solutions and Global Behaviour
  • Local Estimates via the Maximum Principle
  • Integral Estimates and Monotonicity Formulas
  • Regularity Theory at the First Singular Time
  • A Geometry of Hypersurfaces
  • Derivation of the Evolution Equations
  • Background on Geometric Measure Theory
  • Local Results for Minimal Hypersurfaces
  • Remarks on Brakke's Clearing Out Lemma
  • Local Monotonicity in Closed Form
  • Bibliography
  • Index.