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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.AP2024
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…