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Zapiski Nauchnykh Seminarov LOMI, 1990, Volume 186, Pages 136–141 (Mi znsl4855)  
On the scattering on the line. I. Existence of wave operators and asymptotic completeness in periodic case

Ya. V. Kurylev
Full-text PDF (349 kB)
Abstract: Existence the of wave operators is shown for the scattering on the line in $\mathbb{R}^3$. These wave operators are asymptotically complete and $S$-operator in unitary though the completeness of the wave operators is broken-down.
English version:
Journal of Mathematical Sciences, 1995, Volume 73, Issue 3, Pages 385–388
DOI: https://doi.org/10.1007/BF02362825
Bibliographic databases:
Document Type: Article
UDC: 517.43
Language: Russian
Citation: Ya. V. Kurylev, “On the scattering on the line. I. Existence of wave operators and asymptotic completeness in periodic case”, Mathematical problems in the theory of wave propagation. Part 20, Zap. Nauchn. Sem. LOMI, 186, Nauka, St. Petersburg, 1990, 136–141; J. Math. Sci., 73:3 (1995), 385–388
Citation in format AMSBIB
\Bibitem{Kur90}
\by Ya.~V.~Kurylev
\paper On the scattering on the line. I. Existence of wave operators and asymptotic completeness in periodic case
\inbook Mathematical problems in the theory of wave propagation. Part~20
\serial Zap. Nauchn. Sem. LOMI
\yr 1990
\vol 186
\pages 136--141
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4855}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1098012}
\zmath{https://zbmath.org/?q=an:0835.35105|0746.35028}
\transl
\jour J. Math. Sci.
\yr 1995
\vol 73
\issue 3
\pages 385--388
\crossref{https://doi.org/10.1007/BF02362825}
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