Beyond PDEs: Hyperbolic Evolution Equations by Horst R. Beyer
Beyond PDEs: Hyperbolic Evolution Equations - Table of Contents
- 1. General Introduction
- 2. Conventions
- 3. Mathematical Introduction
- 4. Prerequisites
- 5. Strongly Continuous Semigroups and strongly continuous semigroups c0 theory
- 6. Examples of Generators of Strongly Continuous Semigroups
- 7. Intertwining Relations, Operator Homomorphisms and operator homomorphisms intertwining relations
- 8. Examples of Constrained Systems
- 9. Kernels, chains, and Evolution Operators
- 10. The Linear Evolution Equation and linear evolution equations functional analysis
- 11. Examples of Linear Evolution Equations
- 12. The Quasi-Linear Evolution Equation and quasi linear hyperbolic evolution systems
- 13. Examples of Quasi-Linear Evolution Equations
What You Will Learn in Beyond PDEs: Hyperbolic Evolution Equations
Beyond PDEs: Hyperbolic Evolution Equations by Horst R. Beyer is an authoritative, proof-oriented mathematical monograph exploring the functional analytic foundation of hyperbolic systems. Structured systematically across 13 comprehensive chapters, this volume covers strongly continuous semigroups, generator domain analysis, operator homomorphisms, constrained physical systems, linear evolution equations, and quasi-linear evolution operators.
Tailored for graduate mathematics majors, theoretical physicists, and research scholars in partial differential equations, Dr. Beyer unifies classical wave-type equations under abstract operator theory. Readers are guided step-by-step through Hilbert space semigroup generation, intertwining relations, evolution kernels, and non-linear hyperbolic state updates.
Prized for its mathematical precision, structural unification of physical field equations, and deep analytical rigor, it stands as one of the best advanced hyperbolic evolution equations textbooks pdf available for academic study. It systematically equips researchers with essential operator-theoretic tools for mastering modern partial differential equations with confidence.
Book Details & Specifications
Title:
Beyond PDEs: Hyperbolic Evolution Equations by Horst R. Beyer
Publisher:
Arxiv
Year:
2011
Pages:
275
Type:
PDF
Language:
English
ISBN-10 #:
3540711287
ISBN-13 #:
978-3540711285
License:
Arxiv License
Amazon:
Amazon
About the Author: Horst R. Beyer
The author Horst R. Beyer
is an accomplished mathematical physicist and researcher specializing in functional analysis, general relativity, and partial differential equations.
Having held academic and research appointments across prominent European and international institutions, Dr. Beyer is widely recognized for his rigorous contributions to applying C0-semigroup theory to hyperbolic initial value problems in physics.
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