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Uniqueness of solutions to the 3D quintic Gross-Pitaevskii hierarchy
- Hong, Younghun;
- Tahaferro, Kenneth;
- Xie, Zhihui
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12초록
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
Gross-Pitaevskii hierarchy; Nonlinear Schrodinger equation; Uniqueness; Quantum de Finetti theorem; NONLINEAR SCHRODINGER-EQUATION; GLOBAL WELL-POSEDNESS; RIGOROUS DERIVATION; UNCONDITIONAL UNIQUENESS; QUANTUM; DYNAMICS; BOSONS; LIMIT
- 제목
- Uniqueness of solutions to the 3D quintic Gross-Pitaevskii hierarchy
- 저자
- Hong, Younghun; Tahaferro, Kenneth; Xie, Zhihui
- 발행일
- 2016-01
- 유형
- Article
- 권
- 270
- 호
- 1
- 페이지
- 34 ~ 67