224 citations · 3.1k across the 103 of their papers we have counts for
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math.AP2014
Scattering theory below energy space for two dimensional nonlinear Schrödinger equation
Changxing Miao, Jiqiang Zheng
The purpose of this paper is to illustrate the I-method by studying low-regularity solutions of the nonlinear Schr\'[o]dinger equation in two space dimensions. By applying this met…
math.AP2014★ 14 cited
Maximal estimates for Schroedinger equation with inverse-square potential
Changxing Miao, Junyong Zhang, Jiqiang Zheng
In this paper, we consider the maximal estimates for the solution to an initial value problem of the linear Schroedinger equation with a singular potential. We show a result about…
math.AP2014★ 61 cited
Global well-posedness and scattering for nonlinear Schrödinger equations with combined nonlinearities in the radial case
Xing Cheng, Changxing Miao, Lifeng Zhao
We consider the Cauchy problem for the nonlinear Schrödinger equation with combined nonlinearities, one of which is defocusing mass-critical and the other is focusing energy-critic…