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math.AP2021
On the energy-critical quadratic nonlinear Schrödinger system with three waves
Fanfei Meng, Sheng Wang, Chengbin Xu
In this article, we consider the dynamics of the energy-critical quadratic nonlinear Schrödinger system $\[ \left\{ \begin{aligned} & i u^1_t + κ_1 Δu^1 = -\overline{u^2}u^3, \\ &…
math.AP2021
Long time behaviors for the inhomogeneous NLS with a potential in
Fanfei Meng, Sheng Wang, Chengbin Xu
In this article, we aim to study the scattering of the solution to the focusing inhomogeneous nonlinear Schrödinger equation with a potential of form \begin{align*} i\partial_t u+Δ…