Uniqueness of solutions to the 3D quintic Gross-Pitaevskii hierarchy

초록

In this paper, we study solutions to the three-dimensional quintic Gross-Pitaevsldi hierarchy. We prove unconditional uniqueness among all small solutions in the critical space h(1) (which corresponds to H-1 on the NLS level). With slight modifications to the proof, we also prove unconditional uniqueness of solutions to the Hartree hierarchy without a smallness condition. Our proof uses the quantum de Finetti theorem, and is an extension of the work by Chen, Hainzl, Pavlovic, and Seiringer [9], and our previous work [32]. (C) 2015 Elsevier Inc. All rights reserved.

키워드