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Progress in Nonlinear Differential Equations and Their Applications

Regularity Theory for Mean Curvature Flow

Authors: Ecker, Klaus

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eBook $109.00
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  • ISBN 978-0-8176-8210-1
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Hardcover $169.00
price for USA
  • ISBN 978-0-8176-3243-4
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  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
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  • ISBN 978-0-8176-3781-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Reviews

"The central theme [in this book] is the regularity theory for mean curvature flow leading to a clear simplified proof of Brakke's main regularity theorem for this special case.... [The] author gives a detailed account of techniques for the study of singularities and expresses the underlying ideas almost entirely in the language of differential geometry and partial differential equations.... This is a very nice book. The presentations are very clear and direct. Graduate students and researchers in differential geometry and partial differential equations will benefit from this work."

—Mathematical Reviews

"For the last 20 years, the computational and theoretical study and application of generalized motion by mean curvature and more general curvature flows have had enormous impact in diverse areas of pure and applied mathematics. Klaus Ecker's new book provides an attractive, elegant, and largely self-contained introduction to the study of classical mean curvature flow, developing some fundamental ideas from minimal surface theory...all with the aim of proving a version of Brakke's regularity theorem and estimating the size of the 'singular set.' In order to limit technicalities, the discussion is basically limited to classical flows up until a first singularity develops. This makes the book very readable and suitable for students and applied mathematicians who want to gain more insight into the subtleties of the subject."

—SIAM Review

"This book offers an introduction to Brakke's reuglarity theory for the mean curvature flow, incorporating many simplifications of the arguments, which have been found during the last decades." ---Monatshefte für Mathematik

"The book...is a short and very readable account on recent results obained about the structure of singularities. [I]t is definitely an intersting purchase if one wants to gain some technical insight in related nonlinear evolution problems such as the harmonic map heat flow or Hamilton's Ricci flow for metrics." ---Mathematical Society


Table of contents (5 chapters)

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-0-8176-8210-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-0-8176-3243-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-0-8176-3781-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Regularity Theory for Mean Curvature Flow
Authors
Series Title
Progress in Nonlinear Differential Equations and Their Applications
Series Volume
57
Copyright
2004
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-0-8176-8210-1
DOI
10.1007/978-0-8176-8210-1
Hardcover ISBN
978-0-8176-3243-4
Softcover ISBN
978-0-8176-3781-1
Series ISSN
1421-1750
Edition Number
1
Number of Pages
XIII, 165
Topics