The inverse scattering problem for Schr\"odinger and KleinGordon equations with a nonlocal nonlinearityPreprint Series # 772
AbstractWe study the inverse scattering problem for the nonlinear Schr\"odinger equation and for the nonlinear KleinGordon equation with the generalized Hartree type nonlinearity. We reconstruct the nonlinearity from knowledge of the scattering operator, which improves the known results.
