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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)
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DOI: https://doi.org/10.4213/mzm1008
Abstract: The paper presents some necessary and sufficient conditions on abstract positive self-adjoint operators L under which the operator-differential equation utt=−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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\jour Math. Notes
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\issue 6
\pages 724--729
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  • https://doi.org/10.4213/mzm1008
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    • This publication is cited in the following 7 articles:
    1. Glowczyk A., Kuzel S., “On the S-Matrix of Schrodinger Operator With Nonlocal Delta-Interaction”, Opusc. Math., 41:3, SI (2021), 413–435  crossref  isi
    2. Cojuhari P.A., Grod A., Kuzhel S., “On the S-Matrix of Schrodinger Operators With Non-Symmetric Zero-Range Potentials”, J. Phys. A-Math. Theor., 47:31 (2014), 315201  crossref  mathscinet  zmath  adsnasa  isi  scopus
    3. Albeverio S., Kuzhel S., “On Elements of the Lax-Phillips Scattering Scheme for Pt-Symmetric Operators”, J. Phys. A-Math. Theor., 45:44, SI (2012), 444001  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    4. Cojuhari P.A., Kuzhel S., “Lax-Phillips Scattering Theory for Pt-Symmetric Rho-Perturbed Operators”, J. Math. Phys., 53:7 (2012), 073514  crossref  mathscinet  zmath  adsnasa  isi  scopus
    5. Hassi, S, “On symmetries in the theory of finite rank singular perturbations”, Journal of Functional Analysis, 256:3 (2009), 777  crossref  mathscinet  zmath  isi  scopus  scopus
    6. Kuzhel, S, “The Lax-Phillips scattering approach and singular perturbations of Schrodinger operator homogeneous with respect to scaling transformations”, Journal of Mathematics of Kyoto University, 45:2 (2005), 265  crossref  mathscinet  zmath  isi  scopus
    7. S. O. Kuzhel', L. V. Matsyuk, “On an Application of the Lax-Phillips Scattering Approach in the Theory of Singular Perturbations”, Ukr Math J, 57:5 (2005), 806  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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