Inverse scattering at fixed energy on asymptotically hyperbolic Liouville surfaces
Inverse scattering at fixed energy on asymptotically hyperbolic Liouville surfaces
In this paper, we study an inverse scattering problem on Liouville surfaces having two asymptotically hyperbolic ends. The main property of Liouville surfaces consists of the complete separability of the Hamilton–Jacobi equations for the geodesic flow. An important related consequence is the fact that the stationary wave equation can be …