Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniqueness of solutions to the 3D quintic Gross-Pitaevskii Hierarchy   In this paper, we study solutions to the three-dimensional quintic
Gross-Pitaevskii hierarchy. We prove unconditional uniqueness among all small
solutions in the critical space $\mathfrak{H}^1$ (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
smallness condition. Our proof uses the quantum de Finetti theorem, and is an
extension of the work by Chen-Hainzl-Pavlovi\'c-Seiringer \cite{CHPS}, and our
previous work \cite{UniqueLowReg}.

27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc