Scattering properties for a pair of Schrödinger type operators on cylindrical domains

Strong asymptotic completeness is shown for a pair of Schr\"{o}dinger type operators on a cylindrical Lipschitz domain. A key ingredient is a limiting absorption principle valid in a scale of weighted (local) Sobolev spaces with respect to the uniform topology. The results are based on a refined version of Mourre's method within the context of pseudo-selfadjoint operators.