Quantization, PDEs, and Geometry The Interplay of Analysis and Mathematical Physics

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 geometr...

Full description

Bibliographic Details
Other Authors: Bahns, Dorothea (Editor), Bauer, Wolfram (Editor), Witt, Ingo (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2016, 2016
Edition:1st ed. 2016
Series:Advances in Partial Differential Equations
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
LEADER 02541nmm a2200373 u 4500
001 EB001124261
003 EBX01000000000000000857144
005 00000000000000.0
007 cr|||||||||||||||||||||
008 160307 ||| eng
020 |a 9783319224077 
100 1 |a Bahns, Dorothea  |e [editor] 
245 0 0 |a Quantization, PDEs, and Geometry  |h Elektronische Ressource  |b The Interplay of Analysis and Mathematical Physics  |c edited by Dorothea Bahns, Wolfram Bauer, Ingo Witt 
250 |a 1st ed. 2016 
260 |a Cham  |b Springer International Publishing  |c 2016, 2016 
300 |a VIII, 314 p. 16 illus., 5 illus. in color  |b online resource 
505 0 |a 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 
653 |a Global Analysis and Analysis on Manifolds 
653 |a Differential geometry 
653 |a Mathematical Physics 
653 |a Differential Geometry 
653 |a Partial Differential Equations 
653 |a Mathematical physics 
653 |a Manifolds (Mathematics) 
653 |a Partial differential equations 
653 |a Global analysis (Mathematics) 
700 1 |a Bauer, Wolfram  |e [editor] 
700 1 |a Witt, Ingo  |e [editor] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
490 0 |a Advances in Partial Differential Equations 
856 4 0 |u https://doi.org/10.1007/978-3-319-22407-7?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 515.353 
520 |a 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