A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
:{unav)
2018
Proceedings of the American Mathematical Society
Preserved Fulltext
We solve the inverse scattering problem for the nonlinear Schrödinger equation on R n , n ≥ 3: We prove that the small-amplitude limit of the scattering operator uniquely determines V j , j = 0, 1, · · · . Our proof gives a method for the reconstruction of the potentials V j , j = 0, 1, · · · . The results of this paper extend our previous results for the problem on the line.
doi:10.1090/s0002-9939-01-06016-6
fatcat:jin4c55qyrdvtiawklsvchkhw4