3 citations · 3 across the 4 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
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…
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 …