Prof. R. Novikov (École Polytechnique)
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.