Overview
- Features authoritative contributions
- Offers an intriguing outlook on future research directions
Part of the book series: Trends in Mathematics (TM)
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Table of contents (15 papers)
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Front Matter
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Research Papers
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Front Matter
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Keywords
- WKB analysis and Stokes geometry of differential equations
- Dunkl theory, special functions
- sub-Riemannian geometry and sub-elliptic operators
- holonomic systems
- ODEs in the complex plane
- holomorphic vector fields, normal forms
- summability of formal solutions of difference equations
- integrable systems with applications to mathematical physics
- formal solutions of PDEs
- Gevrey estimates
- asymptotic expansions
- ordinary differential equations
- partial differential equations
About this book
This volume consists of invited lecture notes, survey papers and original research papers from the AAGADE school and conference held in Będlewo, Poland in September 2015. The contributions provide an overview of the current level of interaction between algebra, geometry and analysis and demonstrate the manifold aspects of the theory of ordinary and partial differential equations, while also pointing out the highly fruitful interrelations between those aspects. These interactions continue to yield new developments, not only in the theory of differential equations but also in several related areas of mathematics and physics such as differential geometry, representation theory, number theory and mathematical physics.
The main goal of the volume is to introduce basic concepts, techniques, detailed and illustrative examples and theorems (in a manner suitable for non-specialists), and to present recent developments in the field, together with open problems for more advanced and experienced readers.
It will be of interest to graduate students, early-career researchers and specialists in analysis, geometry, algebra and related areas, as well as anyone interested in learning new methods and techniques.
Editors and Affiliations
Bibliographic Information
Book Title: Analytic, Algebraic and Geometric Aspects of Differential Equations
Book Subtitle: Będlewo, Poland, September 2015
Editors: Galina Filipuk, Yoshishige Haraoka, Sławomir Michalik
Series Title: Trends in Mathematics
DOI: https://doi.org/10.1007/978-3-319-52842-7
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-52841-0Published: 26 June 2017
Softcover ISBN: 978-3-319-84999-7Published: 01 August 2018
eBook ISBN: 978-3-319-52842-7Published: 23 June 2017
Series ISSN: 2297-0215
Series E-ISSN: 2297-024X
Edition Number: 1
Number of Pages: VIII, 471
Number of Illustrations: 18 b/w illustrations, 14 illustrations in colour
Topics: Ordinary Differential Equations, Partial Differential Equations, Differential Geometry, Mathematical Physics, Number Theory