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Regularity Theory for Mean Curvature Flow
Hardcover
Series: Progress in Nonlinear Differential Equations and Their Appli, Book 57
ISBN13: 9780817632434
Publisher: Springer Nature
Published: Dec 18 2003
Pages: 165
Weight: 0.96
Height: 0.50 Width: 6.14 Depth: 9.21
Language: English
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.
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