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2007 | 5 | 1 | 134-153

Tytuł artykułu

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

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Strong asymptotic completeness is shown for a pair of Schrödinger 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.


  • Uppsala University


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