Tobias Schmid

Multisoliton Solutions and Blow Up for the $$L^2$$-Critical Hartree Equation

Abstract We construct multisoliton solutions for the $$L^2$$ L 2 -critical Hartree equation with trajectories asymptotically obeying a many-body law for an inverse square potential. More precisely, we consider the m -body hyperbolic and parabolic non-trapped dynamics. The pseudo-...