Regularity theory for mean curvature flow
Author(s)
Bibliographic Information
Regularity theory for mean curvature flow
（Progress in nonlinear differential equations and their applications / editor, Haim Brezis, v. 57）
Birkhäuser, c2004
- : hardcover
- : softcover
Available at 28 libraries
-
Science and Technology Library, Kyushu University
: hardcover023212004000433,
: softcover023212004008315 -
Library, Research Institute for Mathematical Sciences, Kyoto University数研
: hardcoverECK||7||104005215
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"