136 citations · 154 across the 12 of their papers we have counts for
13 papers
The energy-critical inhomogeneous generalized Hartree equation in 3D
Carlos M. Guzmán, Chengbin Xu
The purpose of this work is to study the energy-critical inhomogeneous generalized Hartree equation $$ i\pa_tu+Δu+|x|^{-b}(I_α\ast|\cdot|^{-b}|u|^{p})|u|^{p-2}u=0,\;\ x\in\R^3…
Scattering For three waves Nonlinear Schrödinger System with mass-resonance in 5D
Fanfei Meng, Sheng Wang, Chengbin Xu
In this paper, we study the dynamics behavior of the NLS system with three waves interaction in the energy space $H^1(\mathbb{R}^5) \times H^1(\mathbb{R}^5)\times H^1(\mathbb{R}^5)…
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, \\ &…
Scattering theory For Quadratic Nonlinear Schrödinger System in dimension six
Chuanwei Gao, Fanfei Meng, Chengbin Xu +1
In this paper, we study the solutions to the energy-critical quadratic nonlinear Schrödinger system in , where the sign of its potential energy can not…
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…
A Limiting absorption principle for high-order Schrödinger operators in critical spaces
Xiaoyan Su, Chengbin Xu, Guixiang Xu +1
In this paper, we prove a limiting absorption principle for high-order Schrödinger operators with a large class of potentials which generalize some results by A. Ionescu and W. Sch…