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Tr. Mosk. Mat. Obs., 2019, Volume 80, Issue 2, Pages 275–294 (Mi mmo631)  

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

A. M. Savchuk, I. V. Sadovnichaya

Lomonosov Moscow State University

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.


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English version:
Transactions of the Moscow Mathematical Society, 2019, 80, 235–250

UDC: 517.984
MSC: 34L40, 47D06
Received: 29.07.2019

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
\Bibitem{SavSad19}
\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}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2019
\vol 80
\pages 235--250
\crossref{https://doi.org/10.1090/mosc/297}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85083796018}


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