15 citations · 35 across the 7 of their papers we have counts for
8 papers
The scattering of fractional Schrödinger operators with short range potentials
Rui Zhang, Tianxiao Huang, Quan Zheng
For any positive real number , we study the scattering theory in a unified way for the fractional Schrödinger operator , where and the real-valued p…
Unique continuation properties for one dimensional higher order Schrödinger equations
Tianxiao Huang, Shanlin Huang, Quan Zheng
We study two types of unique continuation properties for the higher order Schrödinger equation with potential $$ i\partial_tu=(-Δ_x)^mu+V(t,x)u,\quad(t,x)\in\mathbb{R}^{1+n},\,2\le…
Inhomogeneous Oscillatory Integrals and Global Smoothing Effects for Dispersive Equations
Tianxiao Huang, Shanlin Huang, Quan Zheng
We study oscillatory integrals of the type where is a general function satisfying some elliptic type and non-degenerate conditions a…
Remarks on -limiting absorption principle of Schrödinger operators and applications to spectral multiplier theorems
Shanlin Huang, Xiaohua Yao, Quan Zheng
This paper comprises two parts. We first investigate a type of limiting absorption principle for Schrödinger operators , i.e., In () we prove t…
estimates for fractional schrodinger operators with kato class potentials
Shanlin Huang, Ming Wang, Quan Zheng +1
Let , , belongs to the higher order Kato class $K_{2α}(\mathbbm{R}^n)$. For , we prove a polynomial upper bound of $\|e^{-itH…
Quantitative uniqueness of some higher order elliptic equations
Shanlin Huang, Ming Wang, Quan Zheng
We study the quantitative unique continuation property of some higher order elliptic operators. In the case of , where is a positive integer, we derive lower bounds o…