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Trudy Moskovskogo Matematicheskogo Obshchestva, 2019, Volume 80, Issue 2, Pages 275–294 (Mi mmo631)  
This article is cited in 1 scientific paper (total in 1 paper)

On the existence of an operator group generated by the one-dimensional Dirac system

A. M. Savchuk, I. V. Sadovnichaya

Lomonosov Moscow State University
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Abstract: We study the one-dimensional Dirac operator with a complex-valued summable potential. The possibility of constructing an operator group generated by this operator is investigated in various spaces. Estimates are established for the growth of the group constructed.
Key words and phrases: Dirac operator, operator semigroups.
Funding agency Grant number
Russian Science Foundation 17-11-01215
The first author was supported by the RSF grant 17-11-01215.
Received: 29.07.2019
English version:
Transactions of the Moscow Mathematical Society, 2019, Volume 80, Pages 235–250
DOI: https://doi.org/10.1090/mosc/297
Bibliographic databases:
Document Type: Article
UDC: 517.984
MSC: 34L40, 47D06
Language: Russian
Citation: A. M. Savchuk, I. V. Sadovnichaya, “On the existence of an operator group generated by the one-dimensional Dirac system”, Tr. Mosk. Mat. Obs., 80, no. 2, MCCME, M., 2019, 275–294; Trans. Moscow Math. Soc., 80 (2019), 235–250
Citation in format AMSBIB
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\by A.~M.~Savchuk, I.~V.~Sadovnichaya
\paper On the existence of an operator group generated by the one-dimensional Dirac system
\serial Tr. Mosk. Mat. Obs.
\yr 2019
\vol 80
\issue 2
\pages 275--294
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo631}
\elib{https://elibrary.ru/item.asp?id=43277238}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2019
\vol 80
\pages 235--250
\crossref{https://doi.org/10.1090/mosc/297}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85083796018}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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