Research in PDEs and Related Fields : The 2019 Spring School, Sidi Bel Abbès, Algeria (Tutorials, Schools, and Workshops in the Mathematical Sciences) (1st ed. 2022. 2022. vii, 186 S. VII, 186 p. 7 illus., 5 illus. in colo)

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.