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20182022
most citedScattering for the non-radial focusing inhomogeneous nonlinear Schrödinger-Choquard equation

2 citations · 3 across the 4 of their papers we have counts for

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math.AP2022

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)…

math.AP2021

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…

math.AP2021

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…

math.AP20212 cited

Scattering for the non-radial focusing inhomogeneous nonlinear Schrödinger-Choquard equation

Chengbin Xu

In this paper, we study the long-time behavior of global solutions to the Schrödinger-Choquard equation Inspired…

math.AP2020

Scattering theory for a class of radial focusing inhomogeneous Hartree equations

Tarek Saanouni

This paper studies the asymptotic behavior of global solutions to the generalized Hartree equation Indeed, using a new approa…

math.AP20201 cited

Scattering For Mass-resonance Nonlinear Schrödinger System in 5D

Fanfei Meng, Chengbin Xu

In this paper, we simplify the proof of M. Hamano in \cite{Hamano2018}, scattering theory of the solution to \eqref{NLS system}, by using the method from B. Dodson and J. Murphy in…