Description
Quantization, PDEs, and Geometry, Softcover reprint of the original 1st ed. 2016
The Interplay of Analysis and Mathematical Physics
Advances in Partial Differential Equations Series
Coordinators: Bahns Dorothea, Bauer Wolfram, Witt Ingo
Language: EnglishSubject for Quantization, PDEs, and Geometry:
Publication date: 03-2018
Support: Print on demand
Publication date: 02-2016
Support: Print on demand
Description
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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.
Introduction.- Todor Gramchev: Gelfand-Shilov Spaces: Structural Properties and Applications to Pseudodifferential Operators in \R^n.- Miroslav Englis: An Excursion into Berezin-Toeplitz Quantization and Related Topics.- Andrew Comech: Global Attraction to Solitary Waves.- Irina Markina: Geodesics in Geometry with Constraints and Applications.
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