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UNCONDITIONAL UNIQUENESS OF THE CUBIC GROSS-PITAEVSKII HIERARCHY WITH LOW REGULARITY
- Hong, Younghun;
- Taliaferro, Kenneth;
- Xie, Zhihui
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19초록
In this paper, we establish the unconditional uniqueness of solutions to the cubic Gross-Pitaevskii hierarchy on R-d in a low regularity Sobolev type space. More precisely, we reduce the regularity s down to the currently known regularity requirement for unconditional uniqueness of solutions to the cubic nonlinear Schrodinger equation (s >= d/6 if d = 1,2 and s > s(c) = d-2/2 if d >= 3). In such a way, we extend the recent work of [T. Chen, C. Hainzl, N. Pavlovic, and R. Seiringer, Comm. Pure Appl. Math., 68 (2015), pp. 1845-1884].
키워드
Gross-Pitaevskii hierarchy; unconditional uniqueness; low regularity; nonlinear Schrodinger equation; quantum de Finetti theorem; NONLINEAR SCHRODINGER-EQUATION; CLASSICAL FIELD LIMIT; RIGOROUS DERIVATION; WELL-POSEDNESS; SCATTERING THEORY; QUANTUM; DYNAMICS; NLS
- 제목
- UNCONDITIONAL UNIQUENESS OF THE CUBIC GROSS-PITAEVSKII HIERARCHY WITH LOW REGULARITY
- 저자
- Hong, Younghun; Taliaferro, Kenneth; Xie, Zhihui
- 발행일
- 2015-01
- 유형
- Article
- 권
- 47
- 호
- 5
- 페이지
- 3314 ~ 3341