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.
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This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.
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Translated from Funktsional'nyi Analiz i ego Prilozheniya, 2023, Vol. 57, pp. 75–92 https://doi.org/10.4213/faa4094.
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Translated by O. V. Sipacheva
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Stepin, S.A. Spectral Analysis of a Dynamical System Describing the Diffusion of Neutrons. Funct Anal Its Appl 57, 143–157 (2023). https://doi.org/10.1134/S0016266323020053
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DOI: https://doi.org/10.1134/S0016266323020053