Progress in Nonlinear Differential Equations and Their Applications

Ecker, Klaus

Mean curvature flow and related flows are important tools in mathematics and mathematical physics. For example, the famous Penrose conjecture in general relativity by Huisken and Ilmanan was based on a curvature flow approach. Under mean curvature flow, surfaces usually develop singularities in finite time. This book presents techniques in the study of singularities of mean curvature flow. It details the influential work of  K. Brakke as well as such recent developments as relations to regularity theory for minimal surfaces, as in Allard's and de Giorgi's work.

Details

Published by: Birkhäuser

Publication Date: 2003-12-18

Format: Hardcover

ISBN-13: 9780817632434

DOI: 10.1007/978-0-8176-8210-1

Dimensions: 235cm x155cm

Pages: 165