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Regularity theory for mean curvature flow

Author: Klaus Ecker
Publisher: Boston : Birkhäuser, ©2004.
Series: Progress in nonlinear differential equations and their applications, v. 57.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

* 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  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Klaus Ecker
ISBN: 0817632433 9780817632434 3764332433 9783764332433 0817637818 9780817637811
OCLC Number: 53360485
Description: xi, 165 pages : illustrations ; 24 cm.
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.
Series Title: Progress in nonlinear differential equations and their applications, v. 57.
Responsibility: Klaus Ecker.

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"The central theme [in this book] is the regularity theory for mean curvature flow leading to a clear simplified proof of Brakke's main regularity theorem for this special case.... [The] author gives Read more...

 
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