Evolutionary Equations by Christian Seifert
Evolutionary Equations and Picard’s Theorem - Table of Contents
- 1. Introduction
- 2. Unbounded Operators
- 3. The Time Derivative
- 4. Ordinary Differential Equations
- 5. Fourier–Laplace Transformation & Material Laws
- 6. Solution Theory for Evolutionary Equations
- 7. Examples of Evolutionary Equations
- 8. Causality & Theorem of Paley and Wiener
- 9. Initial Value Problems & Extrapolation Spaces
- 10. Differential Algebraic Equations
- 11. Exponential Stability of Evolutionary Equations
- 12. Boundary Value Problems & Spaces
- 13. Continuous Dependence on Coefficients I
- 14. Continuous Dependence on Coefficients II
- 15. Maximal Regularity
- 16. Non-Autonomous Evolutionary Equations
- 17. Evolutionary Inclusions
- Appendix A. Derivations of Main Equations
What You Will Learn in Evolutionary Equations and Picard’s Theorem
Evolutionary Equations: Picard's Theorem for Partial Differential Equations by Christian Seifert, Sascha Trostorff, and Marcus Waurick is an authoritative, modern open-access textbook for advanced graduate students and researchers in pure and applied mathematics. Serving as an essential study guide, this volume provides a rigorous Hilbert space setting for evolutionary equations and partial differential equation problem solving practice.
The monograph systematically covers time-derivative operators, maximal monotone relations, material laws, Sobolev spaces, semigroup theory, and boundary value problems. By reformulating classical wave, heat, Maxwell, and elasticity equations as evolutionary problems via Picard’s existence and uniqueness theorem, the authors enable readers to execute complex operator algebraic proofs and well-posedness analysis with precision.
Treasured globally by functional analysts and mathematical physicists for its innovative, unified operator approach, this modern text serves as an outstanding self-study guide. Seifert’s structural framework equips learners with vital functional analytic tools required for mastering modern evolutionary partial differential equation principles.
Book Details & Specifications
Title:
Evolutionary Equations by Christian Seifert
Publisher:
Birkhäuser
Year:
2022
Pages:
619
Type:
PDF
Language:
English
ISBN-10 #:
3030893960
ISBN-13 #:
978-3030893965
License:
CC BY 4.0
Amazon:
Amazon
About the Author: Christian Seifert
The author Christian Seifert
, along with co-authors Sascha Trostorff and Marcus Waurick, are prominent German mathematicians specializing in functional analysis, operator theory, and mathematical physics.
Their academic research stands as authoritative evolutionary equations, operator theory, and Hilbert space partial differential equation study guides.
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