49 citations · 73 across the 19 of their papers we have counts for
4 papers · 2 filters
Dynamics of the focusing 3D cubic NLS with slowly decaying potential
Qing Guo, Hua Wang, Xiaohua Yao
In this paper, we consider a 3d cubic focusing nonlinear Schrödinger equation (NLS) with slowing decaying potentials. Adopting the variational method of Ibrahim-Masmoudi-Nakanishi…
Scattering and blowup for -supercritical and -subcritical biharmonic NLS with potentials
Qing Guo, Hua Wang, Xiaohua Yao
We mainly consider the focusing biharmonic Schrödinger equation with a large radial repulsive potential : \begin{equation*} \left\{ \begin{aligned} iu_{t}+(Δ^2+V)u-|u|^{p-1}u…
Blow-up for the nonlinear Schrödinger equation with combined nonlinearities
Qing Guo, Shihui Zhu
In the first part of this paper, we investigate the sharp threshold of blow-up and global existence for the focusing nonlinear Schrödinger equation with combined nonlinearities of…
Scattering and blow-up criteria for 3D cubic focusing nonlinear inhomogeneous NLS with a potential
Qing Guo, Hua Wang, Xiaohua Yao
In this paper, we consider the 3d cubic focusing inhomogeneous nonlinear Schrödinger equation with a potential $$ iu_{t}+Δu-Vu+|x|^{-b}|u|^{2}u=0,\;\;(t,x) \in {\bf{R}\times{\bf{R}…