75 citations · 245 across the 28 of their papers we have counts for
28 papers
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…
The uniqueness of the ground state and the dynamics of nonlinear Schrödinger equation with inverse square potential
Kai Yang, Chongchun Zeng, Xiaoyi Zhang
In this paper, we first provide an alternative proof of the uniqueness of the ground state solution for NLS with inverse square potential and power nonlinearity for all $0…
A regularity upgrade of pressure
Dong Li, Xiaoyi Zhang
For the incompressible Euler equations the pressure formally scales as a quadratic function of velocity. We provide several optimal regularity estimates on the pressure by using re…
Dynamics of threshold solutions for energy critical NLS with inverse square potential
Kai Yang, Chongchun Zeng, Xiaoyi Zhang
We consider the focusing energy critical NLS with inverse square potential in dimension with the details given in and remarks on results in other dimensions. Sol…
Low regularity conservation laws for integrable PDE
Rowan Killip, Monica Visan, Xiaoyi Zhang
We present a general method for obtaining conservation laws for integrable PDE at negative regularity and exhibit its application to KdV, NLS, and mKdV. Our method works uniformly…
Symplectic non-squeezing for the cubic NLS on the line
Rowan Killip, Monica Visan, Xiaoyi Zhang
We prove symplectic non-squeezing for the cubic nonlinear Schrödinger equation on the line via finite-dimensional approximation.