5 papers
A frequency-domain method to inverse moving source problem with unknown radiating moment
Guanqiu Ma, Hongxia Guo, Guanghui Hu
This paper introduces a multi-frequency factorization method for imaging a time-dependent source, specifically to recover its spatial support and the associated excitation instants…
Absence of the analytic continuation of elastic transmission eigenfunctions at rectangular corners
Jianli Xiang, Guanghui Hu
We study time harmonic scattering problems in linear elasticity in . We show that certain penetrable scatterers with rectangular corners scatter every incident wave…
Simultaneously recover two constant coefficients and a polygon with a single pair of Cauchy data for the Helmholtz equation
Xiaoxu Xu, Guanghui Hu
This paper is concerned with an inverse boundary value problem for the Helmholtz equation over a bounded domain. The aim is to reconstruct two constant coefficients together with t…
An inverse obstacle problem with a single pair of Cauchy data: Laplace's equation case
Xiaoxu Xu, Guanghui Hu
This paper is concerned with an inverse obstacle problem for the Laplace's equation. The aim is to recover the constant conductivity coefficient in the equation and the boundary of…
Detection of a piecewise linear crack with one incident wave
Xiaoxu Xu, Guanqiu Ma, Guanghui Hu
This paper is concerned with inverse crack scattering problems for time-harmonic acoustic waves. We prove that a piecewise linear crack with the sound-soft boundary condition in tw…