Speed of propagation for the boson star equation

We will consider a non linear Schrodinger-type equation describing a large group of gravitating bosons that form a boson star. After giving some results on the well-posedness of the equation, we will study some dispersive properties of the solution. In particular, proving propagation estimates we will then be able to discuss the maximal and minimal velocities of propagation for the solution of the boson star equation.

These results are a joint work with Sébastien Breteaux and Jérémy Faupin.