We give a review of old and recent results on the multidimensional inverse
scattering problem related with works of G.M. Henkin. This talk is based, in particular,
on the following references:
▶ G.M. Henkin, R.G. Novikov, The dbar-equation in the multidimensional inverse scat-
tering problem, Russ. Math. Surv. 42(3), 109-180, 1987;
▶ G.M. Henkin, N.N. Novikova, The reconstruction of the attracting potential in
the Sturm-Liouville equation through characteristics of negative discrete spectrum, Stud.
Appl. Math. 97, 17-52, 1996;
▶ R.G. Novikov, The dbar-approach to monochromatic inverse scattering in three dimen-
sions, J. Geom. Anal. 18, 612-631, 2008;
▶ R.G. Novikov, Formulas for phase recovering from phaseless scattering data at fixed
frequency, Bull. Sci. Math. 139, 923-936, 2015.