Research in PDEs and Related Fields
The 2019 Spring School, Sidi Bel Abbès, Algeria
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Beschreibung
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
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.
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”
Autor*in
Kaïs Ammari
Themen in »Research in PDEs and Related Fields«
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