Concentration for blow-up solutions of semi-relativistic Hartree equations of critical type

This paper concerns the semi-relativistic Hartree equation i∂tu=−Δ+m2u−(|⋅|−1∗|u|2)uin R3. We prove the concentration results for finite time blow-up solutions with general Hx1∕2(R3) data, and show the relation between the concentration rate and the blow-up order.