2 papers
math.NA2026
A quantitative direct sampling method for inhomogeneities from multi-frequency backscattering measurements
Yukun Guo, Xiaodong Liu
The inverse scattering problem from the multi-frequency backscattering data is a long-standing open problem. We advance the theory by proving a local uniqueness result. Moreover, w…
math.NA2025
Inverse problems for elastic wave from Partial Cauchy Data: Uniqueness and Co-inversion for Shape and Impedance Function
Yao Sun, Yan Chang, Yukun Guo
We consider an inverse problem for the elastic wave of simultaneously reconstructing the impedance and the geometric information of the bounded body that is occupied by a homogeneo…