1 citations · 1 across the 6 of their papers we have counts for
6 papers
Fractal Uncertainty and Quantitative Uniqueness for the Fourier Bessel Transform
Xingyu Zhao, Longben Wei, Zhiwen Duan
We establish quantitative uniqueness and a fractal uncertainty principle for the Fourier Bessel transform. In arbitrary dimension, we prove a quantitative uniqueness estimate on re…
Almost everywhere convergence of Bochner-Riesz means for the Hermite type Laguerre expansions
Longben Wei, Zhiwen Duan
Consider the space equipped with Euclidean distance and the Lebesgue measure. For every , we consider the Hermite-L…
Almost everywhere convergence of the convolution type Laguerre expansions
Longben Wei
For a fixed d-tuple , consider the product space equipped with Euclidean distance $\arrowvert \cdot \arrowvert$ and…
Observability and unique continuation inequalities for the Schrödinger equations with inverse-square potentials
Hui Xu, Longben Wei, Zhiwen Duan
This paper is inspired by Wang, Wang and Zhang's work [ Observability and unique continuation inequalities for the Schrödinger equation. J. Eur. Math. Soc. 21, 3513--3572 (2019)],…
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…
Radial symmetry of positive entire solutions of a fourth order elliptic equation with a singular nonlinearity
Zongming Guo, Long Wei, Feng Zhou
The necessary and sufficient conditions for a regular positive entire solution of the biharmonic equation: \begin{equation} \label{0.1} -Δ^2 u=u^{-p} \;\; \mbox{in $\R^N \; (N…