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Matematicheskie Zametki, 2011, Volume 89, Issue 1, Pages 91–103
DOI: https://doi.org/10.4213/mzm8599 (Mi mzm8599) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Self-Adjoint Subspace of the One-Velocity Transport Operator

R. V. Romanov, M. A. Tikhomirov

Saint-Petersburg State University
Full-text PDF (560 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm8599
Abstract: We study the problem of describing the self-adjoint subspace of the transport operator in an unbounded domain. It is proved that this subspace is nontrivial under perturbations having a gap lattice of arbitrarily small length for the one-velocity operator with polynomial collision integral. We also consider the three-dimensional transport operator.
Keywords: transport operator, collision integral, Lebesgue spectrum, self-adjoint subspace, isomorphism.
Received: 28.07.2009
English version:
Mathematical Notes, 2011, Volume 89, Issue 1, Pages 106–116
DOI: https://doi.org/10.1134/S0001434611010111
Bibliographic databases:
Document Type: Article
UDC: 517.948.35
Language: Russian
Citation: R. V. Romanov, M. A. Tikhomirov, “On the Self-Adjoint Subspace of the One-Velocity Transport Operator”, Mat. Zametki, 89:1 (2011), 91–103; Math. Notes, 89:1 (2011), 106–116
Citation in format AMSBIB
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\paper On the Self-Adjoint Subspace of the One-Velocity Transport Operator
\jour Mat. Zametki
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\issue 1
\pages 91--103
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\pages 106--116
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Linking options:
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  • https://doi.org/10.4213/mzm8599
  • https://www.mathnet.ru/eng/mzm/v89/i1/p91
    • This publication is cited in the following 2 articles:
    1. St. Petersburg Math. J., 35:1 (2024), 217–232  mathnet  crossref
    2. Romanov R., “Estimates of solutions of linear neutron transport equation at large time and spectral singularities”, Kinet. Relat. Models, 5:1 (2012), 113–128  crossref  mathscinet  zmath  isi  elib  scopus
    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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