Propagation estimates for the boson star equation

In this talk we will study the long-time behavior of the boson star equation, a semi relativistic, effective Klein-Gordon equation with a Hartree-type non-linearity describing a large number of gravitating bosons. Under general conditions on the interaction potential, we will first discuss the global existence of solutions. Next we will discuss the maximal velocity of such solutions and, in some regime, their scattering and minimal velocity. These results are joint work with Sébastien Breteaux and Viviana Grasselli.

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.