7 citations · 9 across the 2 of their papers we have counts for
3 papers
math.AP2014★ 2 cited
Uniqueness of solutions to the 3D quintic Gross-Pitaevskii Hierarchy
Younghun Hong, Kenneth Taliaferro, Zhihui Xie
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 $\m…
math.AP2014★ 7 cited
Unconditional Uniqueness of the cubic Gross-Pitaevskii Hierarchy with Low Regularity
Younghun Hong, Kenneth Taliaferro, Zhihui Xie
In this paper, we establish the unconditional uniqueness of solutions to the cubic Gross-Pitaevskii hierarchy on in a low regularity Sobolev type space. More precise…
math-ph2013
Derivation of a Nonlinear Schrödinger Equation with a General power-type nonlinerity
Zhihui Xie
In this paper we study the derivation of a certain type of NLS from many-body interactions of bosonic particles. We consider a model with a finite linear combination of -body in…