On the Riemann–Hilbert problem for the one-dimensional Schrödinger equation
On the Riemann–Hilbert problem for the one-dimensional Schrödinger equation
A matrix Riemann–Hilbert problem associated with the one-dimensional Schrödinger equation is considered, and the existence and uniqueness of its solutions are studied. The solution of this Riemann–Hilbert problem yields the solution of the inverse scattering problem for a larger class of potentials than the usual Faddeev class. Some examples of …