This volume presents a timely overview of control theory and related topics, such as the reconstruction problem, the stability of PDEs, and the Calderón problem. The chapters are based on talks given at the conference "Control & Related Fields” held in Seville, Spain in March 2023. In addition to providing a snapshot of these areas, chapters also highlight breakthroughs on more specific topics, such as:

Stabilization of an acoustic system

The Kramers-Fokker-Planck operator

Control of parabolic equations

Control of the wave equation

Advances in Partial Differential Equations and Control will be a valuable resource for both established researchers as well as more junior members of the community.