61 citations · 90 across the 11 of their papers we have counts for
12 papers
Global weak solution of 3-D focusing energy-critical nonlinear Schrödinger equation
Xing Cheng, Chang-Yu Guo, Yunrui Zheng
In this article, we prove the existence of global weak solutions to the three-dimensional focusing energy-critical nonlinear Schrödinger (NLS) equation in the non-radial case. Furt…
Global well-posedness and scattering of the two dimensional cubic focusing nonlinear Schrödinger system
Xing Cheng, Zihua Guo, Gyeongha Hwang +1
In this article, we prove the global well-posedness and scattering of the cubic focusing infinite coupled nonlinear Schrödinger system on below the threshold in $L_x…
Uniqueness and stability for inverse source problem for fractional diffusion-wave equations
Xing Cheng, Zhiyuan Li
This paper is devoted to the inverse problem of determining the spatially dependent source in a time fractional diffusion-wave equation, with the aid of extra measurement data at s…
Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials
Xing Cheng, Chang-Yu Guo, Zihua Guo +2
In this paper, we consider the following three dimensional defocusing cubic nonlinear Schrödinger equation (NLS) with partial harmonic potential \begin{equation*}\tag{NLS} i\partia…
Scattering for the mass-critical nonlinear Klein-Gordon equations in three and higher dimensions
Xing Cheng, Zihua Guo, Satoshi Masaki
In this paper we consider the real-valued mass-critical nonlinear Klein-Gordon equations in three and higher dimensions. We prove the dichotomy between scattering and blow-up below…
Well-posedness for energy-critical nonlinear Schrödinger equation on waveguide manifold
Xing Cheng, Zehua Zhao, Jiqiang Zheng
In this article, we utilize the scale-invariant Strichartz estimate on waveguide which is developed recently by Barron \cite{Barron} based on Bourgain-Demeter decoupling meth…