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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…