Calculus of Variations and Partial Differential Equations

Topics on Geometrical Evolution Problems and Degree Theory

Authors: Ambrosio, Luigi, Dancer, Norman

Editors: Buttazzo, Giuseppe, Marino, Antonio, Murthy, M.K.V. (Eds.)

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eBook $54.99
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  • ISBN 978-3-642-57186-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
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  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-540-64803-1
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About this Textbook

The link between Calculus of Variations and Partial Differential Equations has always been strong, because variational problems produce, via their Euler-Lagrange equation, a differential equation and, conversely, a differential equation can often be studied by variational methods. At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on a classical topic (the geometric problem of evolution of a surface by mean curvature, and degree theory with applications to pde's resp.), in a self-contained presentation accessible to PhD students, bridging the gap between standard courses and advanced research on these topics. The resulting book is divided accordingly into 2 parts, and nicely illustrates the 2-way interaction of problems and methods. Each of the courses is augmented and complemented by additional short chapters by other authors describing current research problems and results.

Table of contents (12 chapters)

  • Introduction to Part I

    Ambrosio, Luigi (et al.)

    Pages 3-4

  • Geometric evolution problems, distance function and viscosity solutions

    Ambrosio, L.

    Pages 5-93

  • Variational models for phase transitions, an approach via Γ-convergence

    Alberti, G.

    Pages 95-114

  • Some aspects of De Giorgi’s barriers for geometric evolutions

    Bellettini, G. (et al.)

    Pages 115-151

  • Partial Regularity for Minimizers of Free Discontinuity Problems with p-th Growth

    Leaci, A.

    Pages 153-169

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-642-57186-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-540-64803-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Calculus of Variations and Partial Differential Equations
Book Subtitle
Topics on Geometrical Evolution Problems and Degree Theory
Authors
Editors
  • Giuseppe Buttazzo
  • Antonio Marino
  • M.K.V. Murthy
Copyright
2000
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-57186-2
DOI
10.1007/978-3-642-57186-2
Softcover ISBN
978-3-540-64803-1
Edition Number
1
Number of Pages
X, 348
Number of Illustrations and Tables
4 b/w illustrations
Topics