Quantization, PDEs, and Geometry

The Interplay of Analysis and Mathematical Physics

  • Dorothea Bahns
  • Wolfram Bauer
  • Ingo Witt

Part of the Operator Theory: Advances and Applications book series (OT, volume 251)

Also part of the Advances in Partial Differential Equations book sub series (APDE, volume 251)

Table of contents

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.


Berezin-Toeplitz quantization compressible Euler equations global aspects of elliptic PDEs stability of solitary waves sub-Riemannian geometry

Editors and affiliations

  • Dorothea Bahns
    • 1
  • Wolfram Bauer
    • 2
  • Ingo Witt
    • 3
  1. 1.Mathematisches InstitutGeorg-August-Universität GöttingenGöttingenGermany
  2. 2.Institut für AnalysisLeibniz Universität HannoverHannoverGermany
  3. 3.Mathematisches InstitutGeorg-August-Universität GöttingenGöttingenGermany

Bibliographic information