8 citations · 34 across the 9 of their papers we have counts for
9 papers
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…
Global well-posedness for the defocusing Hartree equation with radial data in
Changxing Miao, Guixiang Xu, Jianwei Yang
By -method, the interaction Morawetz estimate, long time Strichartz estimate and local smoothing effect of Schrödinger operator, we show global well-posedness and scattering for…
The global well-posedness and scattering for the D defocusing conformal invariant NLW with radial initial data in a critical Besov space
Changxing Miao, Jianwei Yang, Tengfei Zhao
In this paper, we obtain the global well-posedness and scattering for the radial solution to the defocusing conformal invariant nonlinear wave equation with initial data in the cri…
The interctitical defocusing nonlinear Schrödinger equations with radial initial data in dimensions four and higher
Chuanwei Gao, Changxing Miao, Jianwei Yang
In this paper, we consider the defocusing nonlinear Schrödinger equation in space dimensions . We prove that if is a radial solution which is \emph{priori} bounded in…
On local smoothing problems and Stein's maximal spherical means
Changxing Miao, Jianwei Yang, Jiqiang Zheng
It is proved that the local smoothing conjecture for wave equations implies certain improvements on Stein's analytic family of maximal spherical means. Some related problems are al…
Bilinear Kakeya-Nikodym averages of eigenfunctions on compact Riemannian surfaces
Changxing Miao, Christopher D. Sogge, Yakun Xi +1
We obtain an improvement of the bilinear estimates of Burq, Gérard and Tzvetkov in the spirit of the refined Kakeya-Nikodym estimates of Blair and the second author. We do this by…
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…
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…