3 papers
math.AP2025
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…
math.AP2025
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…
math.NA2024
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…