27 citations · 129 across the 17 of their papers we have counts for
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math.AP2020★ 3 cited
On the global well-posedness for the periodic quintic nonlinear Schrödinger equation
Xueying Yu, Haitian Yue
In this paper, we consider the initial value problem for the quintic, defocusing nonlinear Schrödinger equation on with general data in the critical Sobolev space $H^{\f…
math.AP2020★ 18 cited
Global Well-posedness for the focusing cubic NLS on the product space
Xueying Yu, Haitian Yue, Zehua Zhao
In this paper, we prove the global well-posedness for the focusing, cubic nonlinear Schrödinger equation on the product space with initial data bel…
math.AP2020★ 17 cited
Random tensors, propagation of randomness, and nonlinear dispersive equations
Yu Deng, Andrea R. Nahmod, Haitian Yue
Abstract. The purpose of this paper is twofold. We introduce the theory of random tensors, which naturally extends the method of random averaging operators in our earlier work arXi…