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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.
History
Publication status
- Published
Journal
Central European Journal of MathematicsISSN
1895-1074Publisher
VersitaExternal DOI
Issue
1Volume
5Page range
134-153Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes