Geodesic
Scattering by non-compact obstacles
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 15, Tome 127 (1983), pp. 68-74

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Scattering by non-compact obstacles for Schrodinger operators and wave equations is considered. The existence, isometricity and completeness of the wave operators are investigated. 
@article{ZNSL_1983_127_a3,
     author = {E. M. Il'in},
     title = {Scattering by non-compact obstacles},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {68--74},
     publisher = {mathdoc},
     volume = {127},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_127_a3/}
}
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E. M. Il'in. Scattering by non-compact obstacles. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 15, Tome 127 (1983), pp. 68-74. http://geodesic.mathdoc.fr/item/ZNSL_1983_127_a3/