Inverse backscattering for the Schrödinger equation in 2D
Inverse backscattering for the Schrödinger equation in 2D
We study the inverse backscattering problem for the Schrödinger equation in two dimensions.We prove that, for a non-smooth potential in 2D the main singularities up to 1/2 of the derivative of the potential are contained in the Born approximation (Diffraction Tomography approximation) constructed from the backscattering data.We measure singularities in …