Integral Estimates and Monotonicity Formulas

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


In this chapter we study mean curvature flow in integrated form. We derive area estimates and then focus on monotonicity formulas and their consequences. These formulas are among the most important tools in the study of the formation and structure of singularities.


Curvature Flow Heat Kernel Regularity Theory Integral Estimate Gaussian Density 


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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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