Journal
ADVANCES IN MATHEMATICS
Volume 220, Issue 4, Pages 1171-1192Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aim.2008.10.013
Keywords
Hartree equation; Minimal mass; Blowup
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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.
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