3 papers
math.AP2026
On the pointwise convergence of NLS flow on
Fanfei Meng, Yilin Song, Chenmin Sun +2
In this paper, we study the almost everywhere convergence of the cubic nonlinear Schrödinger flow to the initial data on , \begin{equation*} iu_t + Î_g u = |u|^2u, \…
math.AP2025
Threshold solutions for the energy-critical NLS system with quadratic interaction
Alex H. Ardila, Liliana Cely, Fanfei Meng
In this paper, we study the Cauchy problem for a quadratic nonlinear Schrödinger system in dimension six. In~\cite{GaoMengXuZheng}, the authors classified the behavior of solution…
math.AP2024
The dynamics of the focusing NLH with a potential beyond the mass-energy threshold
Shuang Ji, Jing Lu, Fanfei Meng
We study the dynamics of the focusing nonlinear Hartree equation with a Kato potential under…