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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…
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…