an:01721831
Zbl 1134.35385
Belti????, Ingrid
Inverse scattering in a layered medium
EN
Commun. Partial Differ. Equations 26, No. 9-10, 1739-1786 (2001).
00080600
2001
j
35P25 35L05 35R30 47A40
Summary: We study the inverse scattering problem for Schr??dinger equation. We prove that for non-smooth potential the main singularities of the potential are contained in the Born approximation which can be obtained from measurement of the scattering amplitude in a single outgoing direction. We measure singularities in the scale of Sobolev spaces.