3 papers
math.AP2019
On Corner Scattering for Operators of Divergence Form and Applications to Inverse Scattering
Fioralba Cakoni, Jingni Xiao
We consider the scattering problem governed by the Helmholtz equation with inhomogeneity in both `conductivity' in the divergence form and `potential' in the lower order term. The…
math.AP2018
Revisiting the Decoupling of Elastic Waves From a Weak Formulation Perspective
Junjiang Lai, Hongyu Liu, Jingni Xiao +1
Elastic scattering governed by the Lame system associated with the third-type or fourth-type boundary condition is considered. It was shown in [8] by two of the authors that under…
math.AP2017
The Calderón problem for variable coefficients nonlocal elliptic operators
Tuhin Ghosh, Yi-Hsuan Lin, Jingni Xiao
In this paper, we introduce an inverse problem of a Schrödinger type variable nonlocal elliptic operator , for . We determine the unknown…