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Matematicheskie Zametki, 2000, Volume 68, Issue 6, Pages 854–861
DOI: https://doi.org/10.4213/mzm1008
(Mi mzm1008)
 

This article is cited in 7 scientific papers (total in 7 papers)

On the Determination of Free Evolution in the Lax–Phillips Scattering Scheme for Second-Order Operator-Differential Equations

S. A. Kuzhel

Institute of Mathematics, Ukrainian National Academy of Sciences
Full-text PDF (201 kB) Citations (7)
References:
Abstract: The paper presents some necessary and sufficient conditions on abstract positive self-adjoint operators $L$ under which the operator-differential equation $u_{tt}=-Lu$ determines a free evolution in the Lax–Phillips scattering scheme.
Received: 12.07.1999
English version:
Mathematical Notes, 2000, Volume 68, Issue 6, Pages 724–729
DOI: https://doi.org/10.1023/A:1026604515376
Bibliographic databases:
UDC: 517.432
Language: Russian
Citation: S. A. Kuzhel, “On the Determination of Free Evolution in the Lax–Phillips Scattering Scheme for Second-Order Operator-Differential Equations”, Mat. Zametki, 68:6 (2000), 854–861; Math. Notes, 68:6 (2000), 724–729
Citation in format AMSBIB
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\by S.~A.~Kuzhel
\paper On the Determination of Free Evolution in the Lax--Phillips Scattering Scheme for Second-Order Operator-Differential Equations
\jour Mat. Zametki
\yr 2000
\vol 68
\issue 6
\pages 854--861
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\crossref{https://doi.org/10.4213/mzm1008}
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\zmath{https://zbmath.org/?q=an:1011.47010}
\transl
\jour Math. Notes
\yr 2000
\vol 68
\issue 6
\pages 724--729
\crossref{https://doi.org/10.1023/A:1026604515376}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000166684000024}
Linking options:
  • https://www.mathnet.ru/eng/mzm1008
  • https://doi.org/10.4213/mzm1008
  • https://www.mathnet.ru/eng/mzm/v68/i6/p854
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Abstract page:278
    Full-text PDF :168
    References:46
    First page:1
     
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