Elliptic regularization and partial regularity for motion by mean curvature
Author(s)
Bibliographic Information
Elliptic regularization and partial regularity for motion by mean curvature
（Memoirs of the American Mathematical Society, no. 520）
American Mathematical Society, 1994
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Note
"March 1994, volume 108, number 520 (end of volume)"
Includes bibliographical references (p. 87-90)
Description and Table of Contents
Description
This work considers (singular) surfaces moving by mean curvature, combining tools of geometric measure theory with viscosity solution techniques. Employing the geometrically natural concept of elliptic regularization, the author establishes the existence of these surfaces. The work of Brakke, combined with the recently developed level set approach, yields surfaces moving by mean curvature that are smooth almost everywhere. The methods developed here should form a foundation for further work in the field, and the book is also noteworthy for its clear exposition and for an introductory chapter summarizing the key compactness theorems of geometric measure theory.
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