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Funktsional'nyi Analiz i ego Prilozheniya, 2023, Volume 57, Issue 2, Pages 75–92
DOI: https://doi.org/10.4213/faa4094 (Mi faa4094) 		 
Spectral analysis of a dynamical system describing the diffusion of neutrons

S. A. Stepin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.4213/faa4094
Abstract: The spectral properties of the generator of an evolution semigroup describing the dynamics of particle transport in a substance are studied. An effective estimate of the number of unstable modes is obtained, and geometric conditions for spectral stability and instability are found.
Keywords: linearized Boltzmann equation, evolution semigroup generator, spectrum, Birman– Schwinger principle, instability index.
Received: 07.02.2023
Revised: 07.02.2023
Accepted: 21.02.2023
English version:
Functional Analysis and Its Applications, 2023, Volume 57, Issue 2, Pages 143–157
DOI: https://doi.org/10.1134/S0016266323020053
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. A. Stepin, “Spectral analysis of a dynamical system describing the diffusion of neutrons”, Funktsional. Anal. i Prilozhen., 57:2 (2023), 75–92; Funct. Anal. Appl., 57:2 (2023), 143–157
Citation in format AMSBIB
\Bibitem{Ste23}
\by S.~A.~Stepin
\paper Spectral analysis of a dynamical system describing the diffusion of neutrons
\jour Funktsional. Anal. i Prilozhen.
\yr 2023
\vol 57
\issue 2
\pages 75--92
\mathnet{http://mi.mathnet.ru/faa4094}
\crossref{https://doi.org/10.4213/faa4094}
\transl
\jour Funct. Anal. Appl.
\yr 2023
\vol 57
\issue 2
\pages 143--157
\crossref{https://doi.org/10.1134/S0016266323020053}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85180909859}
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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