224 citations · 3.1k across the 103 of their papers we have counts for
6 papers · 2 filters
The -boundedness of stationary wave operators for the Schrödinger operator with inverse-square potential
Changxing Miao, Xiaoyan Su, Jiqiang Zheng
In this paper, we investigate the -boundedness for stationary wave operators of the Schrödinger operator with inverse-square potential $$\mathcal L_a=-Δ+\tfrac{a}{|x|^2},…
Singular analysis of the stress concentration in the narrow regions between the inclusions and the matrix boundary
Changxing Miao, Zhiwen Zhao
We consider the Lamé system arising from high-contrast composite materials whose inclusions (fibers) are nearly touching the matrix boundary. The stress, which is the gradient of t…
Stress concentration factors for the Lamé system arising from composites
Changxing Miao, Zhiwen Zhao
For two neighbouring stiff inclusions, the stress, which is the gradient of a solution to the Lamé system of linear elasticity, may exhibit singular behavior as the distance betwee…
Improved local smoothing estimate for the wave equation in higher dimensions
Chuanwei Gao, Bochen Liu, Changxing Miao +1
In this paper, we establish the sharp -broad estimate for a class of phase functions satisfying the homogeneous convex conditions. As an application, we obtain improved local sm…
-estimate of Schrödinger maximal function in higher dimensions
Zhenbin Cao, Changxing Miao, Meng Wang
Almost everywhere convergence on the solution of Schrödinger equation is an important problem raised by Carleson in harmonic analysis. In recent years, this problem was essentially…
Threshold scattering for the focusing NLS with a repulsive potential
Changxing Miao, Jason Murphy, Jiqiang Zheng
We adapt the arguments in the recent work of Duyckaerts, Landoulsi, and Roudenko to establish a scattering result at the sharp threshold for the focusing cubic NLS with a repu…