This book is open access, which means that you have free and unlimited access
Provides self-contained and comprehensive round up of the theory of evolutionary equations
The matter is confined to elementary Hilbert space theory and complex analysis
Easy access to challenging theory of time-dependent partial differential equations
Part of the book series: Operator Theory: Advances and Applications (OT, volume 287)
Table of contents (17 chapters)
About this book
The text is self-contained, providing an excellent source for a first study on evolutionary equations and a decent guide to the available literature on this subject, thus bridging the gap to state-of-the-art mathematical research.
- Open Access
- Evolutionary equations
- Maxwell's equations
- Initial Boundary Value Problems
- Mathematical Physics
- Hilbert space approach
- Heat Equation
- Wave Equation
- Differential Algebraic Equations
- Exponential Stability
- Evolutionary Inclusions
- Time-dependent partial differential equations
- Coupled Systems
Authors and Affiliations
Institut für Mathematik, Technische Universität Hamburg, Hamburg, Germany
Mathematisches Seminar, Christian-Albrechts-Universität zu Kiel, Kiel, Germany
Institut für Angewandte Analysis, TU Bergakademie Freiberg, Freiberg, Germany
About the authors
Christian Seifert studied Mathematics with minor in Physics at Technische Universität Dresden and received his Diploma in Mathematics in 2009. He then moved to Technische Universität Chemnitz as research associate and obtained his doctoral degree in Mathematics in 2012. Since 2012 he is senior scientist at Technische Universität Hamburg, where he gained his Habilitation in Mathematics in 2021. Christian Seifert has been deputy professor at various Universities: from 2015 and 2016 at Ludwig-Maximilians-Universität München, at Technische Universität Clausthal from 2019 to 2020, and at Christian-Albrechts-Universität zu Kiel in 2021.
Christian Seifert contributed to more than 30 peer-reviewed journal publications mainly on evolution equations and operator theory.
Sascha Trostorff studied mathematics with minor in computer sciences at the TU Dresden, Germany. He graduated in 2008. In 2011 he received his PhD providing a general solution concept for evolutionary inclusions, that is, a certain generalisation of nonlinear partial differential equations. In 2018 he completed his habilitation thesis also at the TU Dresden connecting semi-groups methods and evolutionary equations as well as developing the understanding of exponential stability for a large class of evolutionary equations. Since 2019 he works as a lecturer at the Christian-Albrechts-Universität in Kiel, Germany.
Sascha Trostorff is author of approximately 40 peer-reviewed research papers and co-authored one book. His main research area is functional analysis and its applications to partial differential equations.
Marcus Waurick graduated in Mathematics with minor in Physics at TU Dresden in 2009. During his first employment at the Faculty of Civil Engineering he finished his PhD in 2011 on homogenisation theory and accepted a position at the Institut for Analysis at TU Dresden later this year. 2015 he took up a research post at the University of Bath. 2016 he finished his habilitation thesis. In 2017 he became Chancellor’s Fellow at the University of Strathclyde. 2020 he accepted a position at TU Hamburg as research associate and in November he became deputy professor at TU Bergakademie Freiberg. Since April 2021 he is appointed University Professor at TU Bergakademie Freiberg having the chair for Partial Differential Equations.Marcus Waurick contributed to more than 60 research articles and 2 books. He was guest lecturer at several universities and went on longer research visits around the world. He received the Research Excellence Award 2018 from the University of Strathclyde and was appointed Guest Professor 2020/2021 at TU Graz, Austria.
Book Title: Evolutionary Equations
Book Subtitle: Picard's Theorem for Partial Differential Equations, and Applications
Authors: Christian Seifert, Sascha Trostorff, Marcus Waurick
Series Title: Operator Theory: Advances and Applications
Publisher: Birkhäuser Cham
Copyright Information: The Editor(s) (if applicable) and The Author(s) 2022
License: CC BY
Hardcover ISBN: 978-3-030-89396-5
Softcover ISBN: 978-3-030-89399-6
eBook ISBN: 978-3-030-89397-2
Series ISSN: 0255-0156
Series E-ISSN: 2296-4878
Edition Number: 1
Number of Pages: XII, 317
Number of Illustrations: 5 b/w illustrations
Topics: Differential Equations