224 citations · 3.1k across the 103 of their papers we have counts for
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Strichartz estimates for wave equation with inverse square potential
Changxing Miao, Junyong Zhang, Jiqiang Zheng
In this paper, we study the Strichartz-type estimates of the solution for the linear wave equation with inverse square potential. Assuming the initial data possesses additional ang…
The two-dimensional Euler equations in Yudovich type space and -type space
Qionglei Chen, Changxing Miao, Xiaoxin Zheng
We construct global-in-time, unique solutions of the two-dimensional Euler equations in a Yudovich type space and a -type space. First, we show the regularity of solutions…
An improved maximal inequality for 2D fractional order Schrödinger operators
Changxing Miao, Jianwei Yang, Jiqiang Zheng
The local maximal inequality for the Schrödinger operators of order $\a>1$ is shown to be bounded from to for any . This improves the previous result o…
The defocusing energy-supercritical NLS in four space dimensions
Changxing Miao, Jason Murphy, Jiqiang Zheng
We consider a class of defocusing energy-supercritical nonlinear Schrödinger equations in four space dimensions. Following a concentration-compactness approach, we show that for $1…
Global well-posedness for axisymmetric Boussinesq system with horizontal viscosity
Changxing Miao, Xiaoxin Zheng
In this paper, we are concerned with the tridimensional anisotropic Boussinesq equations which can be described by {equation*} {{array}{ll} (\partial_{t}+u\cdot\nabla)u-κΔ_{h} u+\n…