Semi-classical measures, two scale semi-classical measures and applications

In this lecture, we will present semi-classical measures and show how they describe the obstructions to strong convergence of bounded families of square integrable functions.
We will also describe applications for families of solutions to PDEs, in particular to wave equations.

This initiative is part of the “PhD Lectures” activity of the project “Departments of Excellence 2023-2027” of the Department of Mathematics of Politecnico di Milano. This activity consists of seminars open to PhD students, followed by meetings with the speaker to discuss and go into detail on the topics presented at the talk.