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Zapiski Nauchnykh Seminarov LOMI, 1979, Volume 84, Pages 114–116 (Mi znsl2937)  
This article is cited in 1 scientific paper (total in 1 paper)

The scattering problem for a long-range periodic in time potential

E. L. Korotyaev
Full-text PDF (152 kB) Citations (1)
Abstract: The multidimensional Schrödinger operator $H=-\Delta+V(x,t)$ with a time-dependent potential is considered. The potential may decrease slowly with respect to space variable but its mean value in time is equal to zero. It is shown that for the pair $H_0=-\Delta$, $H$ wave operators exist and their ranges coincide with the absolute continuous subspace of the corresponding operator of monodromy.
English version:
Journal of Soviet Mathematics, 1983, Volume 21, Issue 3, Pages 333–334
DOI: https://doi.org/10.1007/BF01660589
Bibliographic databases:
UDC: 517.94
Language: Russian
Citation: E. L. Korotyaev, “The scattering problem for a long-range periodic in time potential”, Boundary-value problems of mathematical physics and related problems of function theory. Part 11, Zap. Nauchn. Sem. LOMI, 84, "Nauka", Leningrad. Otdel., Leningrad, 1979, 114–116; J. Soviet Math., 21:3 (1983), 333–334
Citation in format AMSBIB
\Bibitem{Kor79}
\by E.~L.~Korotyaev
\paper The scattering problem for a~long-range periodic in time potential
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~11
\serial Zap. Nauchn. Sem. LOMI
\yr 1979
\vol 84
\pages 114--116
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl2937}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=557030}
\zmath{https://zbmath.org/?q=an:0414.35023|0515.35021}
\transl
\jour J. Soviet Math.
\yr 1983
\vol 21
\issue 3
\pages 333--334
\crossref{https://doi.org/10.1007/BF01660589}
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  • https://www.mathnet.ru/eng/znsl/v84/p114
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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