Special Session 169: Inverse problems arising in partial differential equations and mathematical physics
Inverse scattering of the relativistic Schr\odinger operator at a fixed energy
Yiran Wang
Emory University USA
Co-Author(s):
Abstract:
We consider the scattering of relativistic Schr\odinger operators which are perturbations of the fractional Laplacian. For poly-homogeneous potentials decaying at infinity, we show that the asymptotics of the potential can be recovered from the scattering matrix at a fixed energy. This talk is based on a joint work with G. Uhlmann.