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

• Autorzy: Michael Melgaard
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Lipschitz domains; scattering; limiting absorption principle; weighted Sobolev spaces

Kategorie tematyczne

• 35P05: General topics in linear spectral theory
• 47F05: Partial differential operators (should also be assigned at least one other classification number in section 47)
• 35P25: Scattering theory
• 47A40: Scattering theory

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2007
• Tom: 5
• Numer: 1
• Strony: 134-153

Daty

wydano

2007-03-01

online

2007-03-01

Twórcy

autor

Michael Melgaard

• Uppsala University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-006-0037-2