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Advances in Partial Differential Equations

Quantization, PDEs, and Geometry

The Interplay of Analysis and Mathematical Physics

Editors: Bahns, Dorothea, Bauer, Wolfram, Witt, Ingo (Eds.)

  • Addresses unsolved problems at the interface between mathematics and physics
  • Discusses global aspects of elliptic PDEs, Berezin-Toeplitz quantization, the stability of solitary waves, and sub-Riemannian geometry
  • Features contributions based on lectures given by distinguished experts at a summer school in Göttingen
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Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-22407-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-319-22406-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • ISBN 978-3-319-79396-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book presents four survey articles on different topics in mathematical analysis that are closely linked to concepts and applications in physics. Specifically, it discusses global aspects of elliptic PDEs, Berezin-Toeplitz quantization, the stability of solitary waves, and sub-Riemannian geometry. The contributions are based on lectures given by distinguished experts at a summer school in Göttingen. The authors explain fundamental concepts and ideas and present them clearly. Starting from basic notions, these course notes take the reader to the point of current research, highlighting new challenges and addressing unsolved problems at the interface between mathematics and physics. All contributions are of interest to researchers in the respective fields, but they are also accessible to graduate students.

Table of contents (4 chapters)

  • Gelfand–Shilov Spaces: Structural Properties and Applications to Pseudodifferential Operators in ℝ n

    Gramchev, Todor

    Pages 1-68

  • An Excursion into Berezin–Toeplitz Quantization and Related Topics

    Engliš, Miroslav

    Pages 69-115

  • Global Attraction to Solitary Waves

    Comech, Andrew

    Pages 117-152

  • Geodesics in Geometry with Constraints and Applications

    Markina, Irina

    Pages 153-314

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-22407-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-319-22406-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • ISBN 978-3-319-79396-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Quantization, PDEs, and Geometry
Book Subtitle
The Interplay of Analysis and Mathematical Physics
Editors
  • Dorothea Bahns
  • Wolfram Bauer
  • Ingo Witt
Series Title
Advances in Partial Differential Equations
Series Volume
251
Copyright
2016
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-22407-7
DOI
10.1007/978-3-319-22407-7
Hardcover ISBN
978-3-319-22406-0
Softcover ISBN
978-3-319-79396-2
Series ISSN
2504-3587
Edition Number
1
Number of Pages
VIII, 314
Number of Illustrations
11 b/w illustrations, 5 illustrations in colour
Topics