1 citations · 2 across the 5 of their papers we have counts for
5 papers
Unique continuation inequalities for the Dunkl-Schrödinger equation via uncertainty principles
Xingyu Zhao, Hui Xu, Zhiwen Duan
In this paper, we establish unique continuation inequalities at two time points for the Dunkl--Schrödinger equation. The proof is based on quantitative uncertainty principles for t…
Dispersive decay estimates for the magnetic Schrödinger equations
Zhiwen Duan, Lei Wei
In this paper, we present a proof of dispersive decay for both linear and nonlinear magnetic Schrödinger equations. To achieve this, we introduce the fractional distorted Fourier t…
Uncertainty Principle and Geometric Condition for the Observability of Schrödinger Equations
Longben Wei, Zhiwen Duan, Hui Xu
We provide necessary and sufficient geometric conditions for the exact observability of the Schrödinger equation with inverse-square potentials on the half-line. These conditions a…
Scattering for the fractional magnetic Schrodinger operators
Lei Wei, Zhiwen Duan
In this paper, we prove the existence of the scattering operator for the fractional magnetic Schrodinger operators. For this, we construct the fractional distorted Fourier transfor…
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…