Overview
- Constructs a rigorous mathematical approach to linear hereditary problems of wave propagation theory
- Opens unforeseen applications to fractal environments
- Presents a classification of near-front asymptotics of solutions to considered equations
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Table of contents (3 chapters)
Keywords
About this book
Authors and Affiliations
About the author
ALEXANDER A. LOKSHIN is Professor of Mathematics at the Faculty of Primary Education, Moscow Pedagogical University, Russia, since 1999. He completed his graduation in differential equations in 1973 from the Faculty of Mechanics and Mathematics, Moscow State University, Russia. Professor Lokshin defended his thesis on "On lacunas and weak lacunas of hyperbolic and quasi-hyperbolic equations" in 1976 at Moscow State University, Russia. Later, he defended his doctoral dissertation on "Waves in hereditarily elastic media" at the Institute of Problems of Mechanics, USSR Academy of Sciences, Russia, in 1985. He served as a junior research fellow at the Moscow Institute of Electronic Engineering and had also worked as a scientific editor for the Moscow University Press, Russia. Coauthor of The Mathematical Theory of Wave Propagation in Media with Memory and Nonlinear Waves in Inhomogeneous and Hereditary Media, Prof. Lokshin has also published several books proposing a visual and at the same time mathematically rigorous justification of the four arithmetic algorithms.
Bibliographic Information
Book Title: Tauberian Theory of Wave Fronts in Linear Hereditary Elasticity
Authors: Alexander A. Lokshin
DOI: https://doi.org/10.1007/978-981-15-8578-4
Publisher: Springer Singapore
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive licence to Springer Nature Singapore Pte Ltd. 2020
Hardcover ISBN: 978-981-15-8577-7Published: 22 October 2020
Softcover ISBN: 978-981-15-8580-7Published: 23 October 2021
eBook ISBN: 978-981-15-8578-4Published: 21 October 2020
Edition Number: 1
Number of Pages: XI, 136
Number of Illustrations: 10 b/w illustrations
Topics: Mathematical Physics, Theoretical and Applied Mechanics, Fourier Analysis, Integral Transforms, Operational Calculus