Bagmutov A.S., Popov I.Y. Spectrum of the Laplacian on a domain with the boundary and barrier, composed of small resonators

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https://doi.org/10.15688/mpcm.jvolsu.2022.4.3

Alexander S. Bagmutov
Assistant, Faculty of Control Systems and Robotics,
ITMO University
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Kronverkskiy Prospekt, 49, 197101 St. Petersburg, Russian Federation

Igor Y. Popov
Doctor of Physical and Mathematical Sciences, Professor,
Faculty of Control Systems and Robotics,
ITMO University
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Kronverkskiy Prospekt, 49, 197101 St. Petersburg, Russian Federation

 багмутов 20224

Key words: perturbation theory, operator spectrum, Roben boundary condition, Helmholtz resonators, zero-width slits model.

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Spectrum of the Laplacian on a domain with the boundary and barrier, composed of small resonators by Bagmutov A.S., Popov I.Y. is licensed under a Creative Commons Attribution 4.0 International License.

Citation in English: Mathematical Physics and Computer Simulation .  Vol. 25 No. 4 2022, pp. 29-43

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