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.
@article{bwmeta1.element.doi-10_2478_s11533-006-0037-2,
author = {Michael Melgaard},
title = {Scattering properties for a pair of Schr\"odinger type operators on cylindrical domains},
journal = {Open Mathematics},
volume = {5},
year = {2007},
pages = {134-153},
zbl = {1157.35073},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-006-0037-2}
}
Michael Melgaard. Scattering properties for a pair of Schrödinger type operators on cylindrical domains. Open Mathematics, Tome 5 (2007) pp. 134-153. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-006-0037-2/
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