Overview
- 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
Part of the book series: Operator Theory: Advances and Applications (OT, volume 251)
Part of the book sub series: Advances in Partial Differential Equations (APDE)
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Table of contents (4 chapters)
Keywords
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.
Editors and Affiliations
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: Operator Theory: Advances and Applications
DOI: https://doi.org/10.1007/978-3-319-22407-7
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-22406-0Published: 19 February 2016
Softcover ISBN: 978-3-319-79396-2Published: 30 March 2018
eBook ISBN: 978-3-319-22407-7Published: 11 February 2016
Series ISSN: 0255-0156
Series E-ISSN: 2296-4878
Edition Number: 1
Number of Pages: VIII, 314
Number of Illustrations: 11 b/w illustrations, 5 illustrations in colour
Topics: Partial Differential Equations, Differential Geometry, Global Analysis and Analysis on Manifolds, Mathematical Physics