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math.AP2026
Global theory for NLS in the weighted spaces II: final data problem
Yujin Guo, Jia Shen, Yifei Wu +1
In this paper, we study the final data problem for the defocusing nonlinear Schrödinger equation (NLS) in weighted spaces $\dotΣ^s(\mathbb…
math.AP2026
Modified wave operators for nonlinear Schrödinger equations in the full subcritical long range regime
Jia Shen, Yifei Wu
We construct modified wave operators for the nonlinear Schrödinger equation in the full subcritical long-range case , with small, nonvanish…
math.AP2026
The subsonic limit of the 3D Zakharov system
Rui Jia, Jia Shen, Yifei Wu
We obtain the optimal convergence rates in the subsonic limit of the three-dimensional Zakharov system for initial data belonging to the low-regularity Sobolev space $\HH^s=H^s\tim…