Editors:
- Presents an accessible overview of mathematical control theory and inverse problems aimed at young researchers
- Highlights recent breakthroughs in these rapidly developing areas of research
- Collects mini-courses and talks given at the 2019 spring school “Trends in PDEs and Related Fields”
Part of the book series: Tutorials, Schools, and Workshops in the Mathematical Sciences (TSWMS)
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Table of contents (6 chapters)
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Front Matter
About this book
This volume presents an accessible overview of mathematical control theory and analysis of PDEs, providing young researchers a snapshot of these active and rapidly developing areas. The chapters are based on two mini-courses and additional talks given at the spring school "Trends in PDEs and Related Fields” held at the University of Sidi Bel Abbès, Algeria from 8-10 April 2019. In addition to providing an in-depth summary of these two areas, chapters also highlight breakthroughs on more specific topics such as:
- Sobolev spaces and elliptic boundary value problems
- Local energy solutions of the nonlinear wave equation
- Geometric control of eigenfunctions of Schrödinger operators
Research in PDEs and Related Fields will be a valuable resource to graduate students and more junior members of the research community interested in control theory and analysis of PDEs.
Keywords
- Inverse problems PDEs
- Partial differential equations inverse problems
- Time-dependent Schrödinger equations
- Eigenfunctions of Schrödinger equations
- Degenerate parabolic equations
- PDEs on graphs and networks
- Sobolev spaces
- Elliptic boundary value problems
- Nonlinear wave equation
- Aggregation equation
- Local Kelvin-Voigt damping
Editors and Affiliations
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Department of Mathematics, University of Monastir, Monastir, Tunisia
Kaïs Ammari
About the editor
Kaïs Ammari is full professor of mathematics at the University of Monastir (Tunisia). He got his PhD from Ecole Polytechnique in Palaiseau (France). His domain of expertise includes analysis of partial differential equations, control theory and operator semi-group theory. He has held visiting professorships at various universities in France, Italy, and Spain. He has developed a number of international cooperative projects. He is the director of the research Lab of Analysis and Control of PDE (ACEDP lab).
Bibliographic Information
Book Title: Research in PDEs and Related Fields
Book Subtitle: The 2019 Spring School, Sidi Bel Abbès, Algeria
Editors: Kaïs Ammari
Series Title: Tutorials, Schools, and Workshops in the Mathematical Sciences
DOI: https://doi.org/10.1007/978-3-031-14268-0
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-031-14267-3Published: 09 November 2022
Softcover ISBN: 978-3-031-14270-3Published: 10 November 2023
eBook ISBN: 978-3-031-14268-0Published: 07 November 2022
Series ISSN: 2522-0969
Series E-ISSN: 2522-0977
Edition Number: 1
Number of Pages: VII, 186
Number of Illustrations: 2 b/w illustrations, 5 illustrations in colour
Topics: Analysis, Systems Theory, Control