19 citations · 51 across the 13 of their papers we have counts for
13 papers
Mathematical and numerical study of an inverse source problem for the biharmonic wave equation
Yan Chang, Yukun Guo, Tao Yin +1
In this paper, we study the inverse source problem for the biharmonic wave equation. Mathematically, we characterize the radiating sources and non-radiating sources at a fixed wave…
Increasing stability estimates for the inverse potential scattering problems
Jian Zhai, Yue Zhao
This paper is mainly concerned with the inverse scattering problem of determining the unknown potential for the classical Schrödinger equation in two and three dimensions. We estab…
Stability for the multi-dimensional Borg--Levinson theorem of the biharmonic operator
Peijun Li, Xiaohua Yao, Yue Zhao
In this paper, we prove a conditional Hölder stability estimate for the inverse spectral problem of the biharmonic operator. The proof employs the resolvent estimate and a Weyl-typ…
Direct and inverse problems for the Schrödinger operator in a three-dimensional planar waveguide
Peijun Li, Xiaohua Yao, Yue Zhao
In this paper, we study the meromorphic continuation of the resolvent for the Schrödinger operator in a three-dimensional planar waveguide. We prove the existence of a resonance-fr…
Stability for an inverse source problem of the damped biharmonic plate equation
Peijun Li, Xiaohua Yao, Yue Zhao
This paper is concerned with the stability of the inverse source problem for the damped biharmonic plate equation in three dimensions. The stability estimate consists of the Lipsch…
Stability for an inverse source problem of the biharmonic operator
Peijun Li, Xiaohua Yao, Yue Zhao
In this paper, we study for the first time the stability of the inverse source problem for the biharmonic operator with a compactly supported potential in . Firstly, t…
Lipschitz stability for an inverse source scattering problem at a fixed frequency
Peijun Li, Jian Zhai, Yue Zhao
This paper is concerned with an inverse source problem for the three-dimensional Helmholtz equation by a single boundary measurement at a fixed frequency. We show the Lipschitz sta…
Inverse scattering for the one-dimensional Helmholtz equation with piecewise constant wave speed
Sophia Bugarija, Peter C. Gibson, Guanghui Hu +2
This paper analyzes inverse scattering for the one-dimensional Helmholtz equation in the case where the wave speed is piecewise constant. Scattering data recorded for an arbitraril…
Elastic scattering from rough surfaces in three dimensions
Guanghui Hu, Peijun Li, Yue Zhao
Consider the elastic scattering of a plane or point incident wave by an unbounded and rigid rough surface. The angular spectrum representation (ASR) for the time-harmonic Navier eq…
Uniqueness to some inverse source problems for the wave equation in unbounded domains
Guanghui Hu, Yavar Kian, Yue Zhao
This paper is concerned with inverse acoustic source problems in an unbounded domain with dynamical boundary surface data of Dirichlet kind. The measurement data are taken at a sur…
Inverse moving source problems in electrodynamics
Guanghui Hu, Yavar Kian, Peijun Li +1
This paper is concerned with the uniqueness on two inverse moving source problems in electrodynamics with partial boundary data. We show that (1) if the temporal source function is…
Stability on the one-dimensional inverse source scattering problem in a two-layered medium
Yue Zhao, Peijun Li
This paper concerns the stability on the inverse source scattering problem for the one-dimensional Helmholtz equation in a two-layered medium. We show that the increasing stability…
Stability for the inverse source problems in elastic and electromagnetic waves
Gang Bao, Peijun Li, Yue Zhao
This paper concerns the inverse source problems for the time-harmonic elastic and electromagnetic wave equations. The goal is to determine the external force and the electric curre…