224 citations · 3.1k across the 103 of their papers we have counts for
7 papers · 2 filters
Scattering theory for the radial -critical wave Equation with a cubic convolution
Changxing Miao, Junyong Zhang, Jiqiang Zheng
In this paper, we study the global well-posedness and scattering for the wave equation with a cubic convolution in dimensions .…
The energy-critical NLS with inverse-square potential
R. Killip, C. Miao, M. Visan +2
We consider the defocusing energy-critical nonlinear Schrödinger equation with inverse-square potential in three space dimensions. We prove globa…
The defocusing quintic NLS in four space dimensions
Benjamin Dodson, Changxing Miao, Jason Murphy +1
We consider the defocusing quintic nonlinear Schrödinger equation in four space dimensions. We prove that any solution that remains bounded in the critical Sobolev space must be gl…
Linear adjoint restriction estimates for paraboloid
Changxing Miao, Junyong Zhang, Jiqiang Zheng
We prove a class of modified paraboloid restriction estimates with a loss of angular derivatives for the full set of paraboloid restriction conjecture indices. This result generali…
On the regularity issues of a class of drift-diffusion equations with nonlocal diffusion
Changxing Miao, Liutang Xue
In this paper we address the regularity issues of drift-diffusion equation with nonlocal diffusion, where the diffusion operator is in the realm of stable-type Lévy operator and th…
On Wolff's Kakeya maximal inequality in
Changxing Miao, Jianwei Yang, Jiqiang Zheng
We reprove Wolff's bound for the Kakeya maximal function without appealing to the argument of induction on scales. The main ingredient in our proof is an ad…