activity
20172026
most citedOn a universal solution to the transport-of-intensity equation

168 citations · 181 across the 10 of their papers we have counts for

collaborators

11 papers

eess.AS2026

The NPU-ASLP System for Music Restoration in the CCF-AATC 2026 Challenge

Zeyu Zhu, Yike Zhu, Xingchen Li +6

This paper presents the NPU-ASLP music restoration system developed for Track 1 of the China Computer Federation (CCF) Advanced Audio Technology Competition (AATC) 2026 Challenge.…

math.AP2023

Measure upper bounds of nodal sets of solutions to Dirichlet problem of Schrödinger equations

Hairong Liu, Long Tian, Xiaoping Yang

In this paper, we focus on estimating measure upper bounds of nodal sets of solutions to the following boundary value problem \begin{equation*} \left\{ \begin{array}{lll} Δu+Vu=0\q…

math.AP2023

Quantitative unique continuation property for solutions to a bi-Laplacian equation with a potential

Hairong Liu, Long Tian, Xiaoping Yang

In this paper, we focus on the quantitative unique continuation property of solutions to \begin{equation*} Δ^2u=Vu, \end{equation*} where . We show that the maxi…

math.AP2023★ 1 cited

Some Quantitative Properties of Solutions to the Buckling Type Equation

Long Tian, Xiaoping Yang

In this paper, we investigate the quantitative unique continuation, propagation of smallness and measure bounds of nodal sets of solutions to the Buckling type equation $\triangle^…

eess.IV2019★ 168 cited

On a universal solution to the transport-of-intensity equation

Jialin Zhang, Qian Chen, Jiasong Sun +2

Transport-of-intensity equation (TIE) is one of the most well-known approaches for phase retrieval and quantitative phase imaging. It directly recovers the quantitative phase distr…

math.AP2018

Upper Measure Bounds of Nodal Sets of Solutions to the Bi-Harmonic Equations on Riemannian Manifolds

Long Tian, Xiaoping Yang

In this paper, we consider the nodal set of a bi-harmonic function on an dimensional Riemannian manifold , that is, satisfies the equation $\triangle_M^…