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math.AP2026
Limiting absorption principle for time-harmonic elastic scattering of plane waves from diffraction gratings
Jianli Xiang, Guanghui Hu
We establish the limiting absorption principle for time-harmonic elastic scattering of plane waves by a periodic rigid diffraction grating. By perturbing the frequency with a small…
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.AP2024
Uniqueness to inverse acoustic and elastic medium scattering problems with hyper-singular source method
Chun Liu, Guanghui Hu, Jianli Xiang +1
This paper is concerned with inverse scattering problems of determining the support of an isotropic and homogeneous penetrable body from knowledge of multi-static far-field pattern…