Existence of multisoliton solutions of the gravitational Hartree equation in three dimensions
arXiv:2407.18686 · doi:10.1090/tran/9654
Abstract
We prove the existence of multisoliton solutions of the three-dimensional gravitational Hartree equation whose trajectories follow many body dynamics of hyperbolic, parabolic or hyperbolic-parabolic types. This work generalizes and improves the result of Krieger-Martel-Raphaël on two-soliton solutions.