An error was encountered while trying to add the item to the cart. Please try again.
The following link can be shared to navigate to this page. You can select the link to copy or click the 'Copy To Clipboard' button below.
Copy To Clipboard
Successfully Copied!
Elliptic Regularization and Partial Regularity for Motion by Mean Curvature

Available Formats:
Electronic ISBN: 978-1-4704-0097-2
Product Code: MEMO/108/520.E
List Price: $40.00 MAA Member Price:$36.00
AMS Member Price: $24.00 Click above image for expanded view Elliptic Regularization and Partial Regularity for Motion by Mean Curvature Available Formats:  Electronic ISBN: 978-1-4704-0097-2 Product Code: MEMO/108/520.E  List Price:$40.00 MAA Member Price: $36.00 AMS Member Price:$24.00
• Book Details

Memoirs of the American Mathematical Society
Volume: 1081994; 90 pp
MSC: Primary 35; 53; 82;

This monograph 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”, Ilmanen establishes the existence of these surfaces. The ground-breaking 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. This book is also noteworthy for its especially clear exposition and for an introductory chapter summarizing the key compactness theorems of geometric measure theory.

Geometric measure theorists as well as mathematicians involved in partial differential equations and phase transitions.

• Chapters
• I. Elliptic regularization
• II. Partial regularity in codimension one
• Request Review Copy
• Get Permissions
Volume: 1081994; 90 pp
MSC: Primary 35; 53; 82;

This monograph 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”, Ilmanen establishes the existence of these surfaces. The ground-breaking 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. This book is also noteworthy for its especially clear exposition and for an introductory chapter summarizing the key compactness theorems of geometric measure theory.