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  • Textbook
  • © 2000

Calculus of Variations and Partial Differential Equations

Topics on Geometrical Evolution Problems and Degree Theory

Authors:

Editors:

  1. Luigi Ambrosio

    1. Scuola Normale Superiore, Pisa, Italy

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  2. Norman Dancer

    1. School of Mathematics, University of Sydney, Sydney, Australia

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  1. Giuseppe Buttazzo

    1. Dipartimento di Matematica, Università di Pisa, Pisa, Italy

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  2. Antonio Marino

    1. Dipartimento di Matematica, Università di Pisa, Pisa, Italy

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  3. M. K. V. Murthy

    1. Dipartimento di Matematica, Università di Pisa, Pisa, Italy

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Sections

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Table of contents (12 chapters)

  1. Front Matter

    Pages I-IX
    PDF

  2. Geometric Evolution Problems

    1. Front Matter

      Pages 1-1
      PDF

    2. Introduction to Part I

      • Luigi Ambrosio, Norman Dancer, Giuseppe Buttazzo, Antonio Marino, M. K. V. Murthy
      Pages 3-4

  3. Degree Theory on Convex Sets and Applications to Bifurcation

    1. Front Matter

      Pages 181-181
      PDF

    2. Introduction to Part II

      • Luigi Ambrosio, Norman Dancer, Giuseppe Buttazzo, Antonio Marino, M. K. V. Murthy
      Pages 183-184

    6. Solitons and Relativistic Dynamics

      • V. Benci, D. Fortunato
      Pages 259-283

  4. Back Matter

    Pages 327-347
    PDF
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About this book

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.
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Keywords

  • Calculus of Variations
  • Lagrangian mechanics
  • direct variational methods
  • geometric measure theory
  • partial differential equation
  • partial differential equations
  • topological variational methods
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Authors, Editors and Affiliations

  • Dipartimento di Matematica, Università di Pisa, Pisa, Italy

    Giuseppe Buttazzo, Antonio Marino, M. K. V. Murthy

  • Scuola Normale Superiore, Pisa, Italy

    Luigi Ambrosio

  • School of Mathematics, University of Sydney, Sydney, Australia

    Norman Dancer

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Bibliographic Information

  • Book Title: Calculus of Variations and Partial Differential Equations

  • Book Subtitle: Topics on Geometrical Evolution Problems and Degree Theory

  • Authors: Luigi Ambrosio, Norman Dancer

  • Editors: Giuseppe Buttazzo, Antonio Marino, M. K. V. Murthy

  • DOI: https://doi.org/10.1007/978-3-642-57186-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2000

  • Softcover ISBN: 978-3-540-64803-1Published: 24 January 2000

  • eBook ISBN: 978-3-642-57186-2Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: X, 348

  • Number of Illustrations: 4 b/w illustrations

  • Topics: Calculus of Variations and Optimization, Systems Theory, Control

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Access via your institution
eBook EUR 16.99 EUR 42.79
Discount applied Price includes VAT (Finland)
  • ISBN: 978-3-642-57186-2
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book EUR 17.47 EUR 54.99
Discount applied Price includes VAT (Finland)
  • ISBN: 978-3-540-64803-1
  • Dispatched in 3 to 5 business days
  • Exclusive offer for individuals only
  • Free shipping worldwide
    See shipping information.
  • Tax calculation will be finalised during checkout
Learn about institutional subscriptions