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Integral Estimates and Monotonicity Formulas

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Regularity Theory for Mean Curvature Flow

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

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Abstract

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.

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© 2004 Springer Science+Business Media New York

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Ecker, K. (2004). Integral Estimates and Monotonicity Formulas. In: Regularity Theory for Mean Curvature Flow. Progress in Nonlinear Differential Equations and Their Applications, vol 57. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8210-1_4

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  • DOI: https://doi.org/10.1007/978-0-8176-8210-1_4

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-0-8176-3781-1

  • Online ISBN: 978-0-8176-8210-1

  • eBook Packages: Springer Book Archive

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