Quantization, PDEs, and Geometry

The Interplay of Analysis and Mathematical Physics

Dorothea Bahns, Wolfram Bauer, Ingo Witt (Herausgeber)

Buch | Hardcover

VIII, 314 Seiten

2016 | 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-22406-0 (ISBN)

Artikel merken

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.

Erscheint lt. Verlag	19.2.2016
Reihe/Serie	Advances in Partial Differential Equations
Reihe/Serie	Operator Theory: Advances and Applications
Zusatzinfo	VIII, 314 p. 16 illus., 5 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Naturwissenschaften ► Physik / Astronomie
Schlagworte	Berezin-Toeplitz quantization • compressible Euler equations • Differential Geometry • Global Analysis and Analysis on Manifolds • global aspects of elliptic PDEs • Mathematical Physics • mathematics and statistics • Partial differential equations • stability of solitary waves • sub-Riemannian geometry
ISBN-10	3-319-22406-9 / 3319224069
ISBN-13	978-3-319-22406-0 / 9783319224060
Zustand	Neuware