6 citations · 17 across the 12 of their papers we have counts for
12 papers
Hörmander oscillatory integral operators: a revisit
Chuanwei Gao, Zhong Gao, Changxing Miao
In this paper, we present new proofs for both the sharp estimate and the decoupling theorem for the Hörmander oscillatory integral operator. The sharp estimate was prev…
Refined restriction estimate for eigenfunctions on Riemannian surfaces
Chuanwei Gao, Changxing Miao, Yakun Xi
We refine the restriction estimates for Laplace eigenfunctions on a Riemannian surface, originally established by Burq, Gérard, and Tzvetkov. First, we establish estimates fo…
Decoupling for finite type phases in higher dimensions
Chuanwei Gao, Zhuoran Li, Tengfei Zhao +1
In this paper, we establish an decoupling inequality for the hypersurface \[\Big\{(ξ_1,...,ξ_{n-1},ξ_1^m+...+ξ_{n-1}^m): (ξ_1,...,ξ_{n-1}) \in [0,1]^{n-1}\Big\}\]associate…
A type of oscillatory integral operator and its applications
Chuanwei Gao, Jingyue Li, Liang Wang
In this paper, we consider - estimate for a class of oscillatory integral operators satisfying the Carleson-Sjölin conditions with further convex and straight assumptions. As…
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…
Scattering theory For Quadratic Nonlinear Schrödinger System in dimension six
Chuanwei Gao, Fanfei Meng, Chengbin Xu +1
In this paper, we study the solutions to the energy-critical quadratic nonlinear Schrödinger system in , where the sign of its potential energy can not…
Square function estimates and Local smoothing for Fourier Integral Operators
Chuanwei Gao, Bochen Liu, Changxing Miao +1
We prove a variable coefficient version of the square function estimate of Guth--Wang--Zhang. By a classical argument of Mockenhaupt--Seeger--Sogge, it implies the full range of sh…
Improved local smoothing estimate for the fractional Schrödinger operator
Chuanwei Gao, Changxing Miao, Jiqiang Zheng
In this paper, we consider the local smoothing estimate of fractional Schrödinger operator with . Using the -broad "norm" estimate developed by Guth, we…
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…
On scattering for the defocusing high dimensional inter-critical NLS
Chuanwei Gao, Zehua Zhao
In this paper, we study the critical norm conjecture for the inter-critical nonlinear Schr{ö}dinger equation with critical index satisfying when …
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…