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On the classification of minimal mass blowup solutions of the focusing mass-critical Hartree equation
Journal article   Open access   Peer reviewed

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

Dong Li and Xiaoyi Zhang
Advances in mathematics (New York. 1965), Vol.220(4), pp.1171-1192
2009
DOI: 10.1016/j.aim.2008.10.013
url
https://doi.org/10.1016/j.aim.2008.10.013View
Published (Version of record) Open Access

Abstract

Consider the focusing mass-critical nonlinear Hartree equation i u t + Δ u = − ( | ⋅ | −2 ∗ | u | 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 i t Q up to phase rotation and scaling.
Blowup Hartree equation Minimal mass

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