Overview
- Provides new directions for further research and presents open problems with relevant discussions
- Serves as a reference book for a wide community of readers, both graduate students and researchers
- Useful to researchers who wish to be informed of both classical and up-to-date results in various disciplines
Part of the book series: Springer Optimization and Its Applications (SOIA, volume 179)
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Table of contents (40 chapters)
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Front Matter
Keywords
- Laplace operators
- spectral properties
- integro-differential operators
- hyperbolic equations
- boundary value problems
- Euclidean Harmonic Analysis
- time-frequency analysis
- Interpolation
- Fourier series
- singular integrals
- function spaces
- Atomic decompositions
- weighted inequalities
- Optimal Control
- Dynamics
- Global Optimization
- Data Mining
- Cryptography
- Massive Computing
- Network Design problems
About this book
This contributed volume provides an extensive account of research and expository papers in a broad domain of mathematical analysis and its various applications to a multitude of fields. Presenting the state-of-the-art knowledge in a wide range of topics, the book will be useful to graduate students and researchers in theoretical and applicable interdisciplinary research. The focus is on several subjects including: optimal control problems, optimal maintenance of communication networks, optimal emergency evacuation with uncertainty, cooperative and noncooperative partial differential systems, variational inequalities and general equilibrium models, anisotropic elasticity and harmonic functions, nonlinear stochastic differential equations, operator equations, max-product operators of Kantorovich type, perturbations of operators, integral operators, dynamical systems involving maximal monotone operators, the three-body problem, deceptive systems, hyperbolic equations, strongly generalized preinvex functions, Dirichlet characters, probability distribution functions, applied statistics, integral inequalities, generalized convexity, global hyperbolicity of spacetimes, Douglas-Rachford methods, fixed point problems, the general Rodrigues problem, Banach algebras, affine group, Gibbs semigroup, relator spaces, sparse data representation, Meier-Keeler sequential contractions, hybrid contractions, and polynomial equations. Some of the works published within this volume provide as well guidelines for further research and proposals for new directions and open problems.
Editors and Affiliations
About the editors
Efthimios Providas received a Ph.D. in numerical analysis from Brunel University in UK in 1990. He is an associate professor in the University of Thessaly in Greece. His expertise includes applied mathematics, numerical analysis, finite element methods and boundary value problems for differential, integro-differential, loaded and difference equations.
Themistocles M. Rassias is professor of mathematics at the National Technical University of Athens. His research interests include nonlinear analysis, global analysis, approximation theory, functional analysis, functional equations, inequalities and their applications. Professor Rassias received his PhD in mathematics from the University of California, Berkeley in 1976; his thesis advisor was Stephen Smale and his academic advisor was Shiing-Shen Chern. In addition to his extensive list of journal publications, professor Rassias has published as author or volume editor several books published with Springer. Th. M. Rassias has received several awards and is an active editorial board member of an array of journals in mathematical analysis and optimization. His publications have received a large number of citations, with h-index 47 (in 2021).
Bibliographic Information
Book Title: Mathematical Analysis in Interdisciplinary Research
Editors: Ioannis N. Parasidis, Efthimios Providas, Themistocles M. Rassias
Series Title: Springer Optimization and Its Applications
DOI: https://doi.org/10.1007/978-3-030-84721-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-84720-3Published: 11 March 2022
Softcover ISBN: 978-3-030-84723-4Published: 12 March 2023
eBook ISBN: 978-3-030-84721-0Published: 10 March 2022
Series ISSN: 1931-6828
Series E-ISSN: 1931-6836
Edition Number: 1
Number of Pages: X, 1060
Number of Illustrations: 25 b/w illustrations, 27 illustrations in colour
Topics: Potential Theory, Several Complex Variables and Analytic Spaces, Special Functions, Ordinary Differential Equations, Partial Differential Equations, Dynamical Systems and Ergodic Theory