Regularity theory for mean curvature flow

Author(s)

• Ecker, Klaus

Bibliographic Information

Regularity theory for mean curvature flow

Klaus Ecker

（Progress in nonlinear differential equations and their applications / editor, Haim Brezis, v. 57）

Birkhäuser, c2004

• : hardcover
• : softcover

Note

Includes bibliographical references and index

Description and Table of Contents

Description

* 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 and mathematical physics.

Table of Contents

1 Introduction.- 2 Special Solutions and Global Behaviour.- 3 Local Estimates via the Maximum Principle.- 4 Integral Estimates and Monotonicity Formulas.- 5 Regularity Theory at the First Singular Time.- A Geometry of Hypersurfaces.- B Derivation of the Evolution Equations.- C Background on Geometric Measure Theory.- D Local Results for Minimal Hypersurfaces.- E Remarks on Brakke!-s Clearing Out Lemma.- F Local Monotonicity in Closed Form.

by "Nielsen BookData"

Details

• NCID: BA65780474
• ISBN:
  • 0817632433
  • 0817637818
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Boston
• Pages/Volumes: xi, 165 p.
• Size: 24 cm
• Parent Bibliography ID:
  • BA07303999