224 citations · 3.1k across the 103 of their papers we have counts for
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Scattering for the non-radial inhomogeneous NLS
Changxing Miao, Jason Murphy, Jiqiang Zheng
We extend the result of Farah and Guzmán on scattering for the cubic inhomogeneous NLS to the non-radial setting. The key new ingredient is a construction of scattering soluti…
Global Regularity of weak solutions to the generalized Leray equations and its applications
Baishun Lai, Changxing Miao, Xioaxin Zheng
We investigate a regularity for weak solutions of the following generalized Leray equations \begin{equation*} (-Δ)^αV- \frac{2α-1}{2α}V+V\cdot\nabla V-\frac{1}{2α}x\cdot \nabla V+\…
Improved variable coefficient square functions and local smoothing of Fourier integral operators
Chuanwei Gao, Changxing Miao, Jianwei-Urbain Yang
We establish certain square function estimates for a class of oscillatory integral operators with homogeneous phase functions. These results are employed to deduce a refinement of…
Square function inequality for oscillatory integral operators satisfying homogeneous Carleson-Sjölin type conditions
Chuanwei Gao, Changxing Miao, Jianwei-Urbain Yang
In this paper, we establish an improved variable coefficient version of square function inequality, by which the local smoothing estimate for the Fourier int…