On the classification of minimal mass blowup solutions of the focusing mass-critical Hartree equation

Consider the focusing mass-critical nonlinear Hartree equation iu(t) + Delta u = -(vertical bar.vertical bar(-2)*vertical bar u vertical bar(2))u for spherically symmetric H-x(1) initial data with ground state mass M(Q) in dimension d >= 5. We show that any global solution u which does not scatter must be the solitary wave e(it) Q up to phase rotation and scaling. (C) 2008 Elsevier Inc. All rights reserved.