21 citations · 21 across the 2 of their papers we have counts for
2 papers
math.AP2012★ 21 cited
Inverse backscattering for the Schrödinger equation in 2D
Juan Manuel Reyes
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…
math.AP2009
Reconstruction of the singularities of a potential from backscattering data in 2D and 3D
Juan Manuel Reyes, Alberto Ruiz
We prove that the singularities of a potential in the two and three dimensional Schrödinger equation are the same as the singularities of the Born approximation (Diffraction Tomogr…