5 papers · 1 filter
Threshold Scattering for the Energy-Critical NLS with a Repulsive Inverse Square Potential
Zuyu Ma, Yilin Song, Kai Yang +1
We study the threshold scattering problem for the energy-critical nonlinear Schrödinger equation with a repulsive inverse-square potential in dimensions $d= 4…
Dynamics of focusing nonlinear Schrödinger equation with partial harmonic confinement in higher dimensions
Tianhao Liu, Zuyu Ma, Yilin Song +1
We study the following focusing intercritical nonlinear Schrödinger equation with partial harmonic confinement: \begin{equation*} \begin{cases} i\partial_t u+Δ_{z}u-y^2 u =- |u|^αu…
Scattering norm estimate near the threshold for the energy-subcritical NLS
Zuyu Ma
We consider the focusing energy-subcritical Schrödinger equations. In earlier works by Holmer-Roudenko \cite{holmer}, Duyckaerts-Holmer-Roudenko \cite{duyckaerts2}, Akahori-Nawa \c…
Dynamics of subcritical threshold solutions for the 4d energy-critical NLS
Zuyu Ma, Changxing Miao, Jason Murphy +1
We study dynamics of the 4 energy-critical nonlinear Schrödinger equation at the ground state energy. Previously, Duyckaerts and Merle [Geom. Funct. Anal. (2009)] proved that an…
On scattering for two-dimensional quintic Schrödinger equation under partial harmonic confinement
Zuyu Ma, Yilin Song, Ruixiao Zhang +2
In this article, we study the scattering theory for the two dimensional defocusing quintic nonlinear Schrödinger equation(NLS) with partial harmonic oscillator which is given by \b…