Overview
- A novel theory of pseudo-differential operators and equations with symbols singular in dual variables is presented systematically
- Recent developments in the theory of fractional order differential equations and their various applications are studied
- Fractional Fokker-Planck-Kolmogorov equations and their connection with the associated stochastic differential equations driven by a time-changed process are discussed in detail
Part of the book series: Developments in Mathematics (DEVM, volume 41)
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Table of contents (9 chapters)
Keywords
About this book
Reviews
“The book systematically presents the theory of pseudo-differential operators with symbols singular in dual variables. … The book is interesting both for probabilists and for researchers in those areas of functional analysis where pseudo-differential operators arise. The interesting connections are emphasized by a multitude of examples. Additional notes at the end of each chapter provide nice historical insights and help to understand the role of the presented results within the big picture.” (Alexander Schnurr, zbMATH 1331.35005, 2016)
Authors and Affiliations
Bibliographic Information
Book Title: Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
Authors: Sabir Umarov
Series Title: Developments in Mathematics
DOI: https://doi.org/10.1007/978-3-319-20771-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-20770-4Published: 27 August 2015
Softcover ISBN: 978-3-319-36846-7Published: 22 October 2016
eBook ISBN: 978-3-319-20771-1Published: 18 August 2015
Series ISSN: 1389-2177
Series E-ISSN: 2197-795X
Edition Number: 1
Number of Pages: XVI, 434
Number of Illustrations: 2 b/w illustrations
Topics: Partial Differential Equations, Probability Theory and Stochastic Processes, Fourier Analysis, Complex Systems, Statistical Physics and Dynamical Systems