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Zapiski Nauchnykh Seminarov POMI, 2023, Volume 521, Pages 123–135 (Mi znsl7327)  
Eigenfunctions of the continuous spectrum in the problem of acoustic oscillations in a wedge-shaped domain bounded by an angular junction of two semi-infinite thin elôstic membranes

M. A. Lyalinov

Saint Petersburg State University
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Abstract: In this work we compute the eigenfunctions of the continuous (essential) spectrum in the form of the Sommerfeld integral. The eigenfunctions are localised near the membranes and can be interpreted as incoming and outgoing surface waves.
Key words and phrases: eigenfunctions, essential spectrum, wedge, functional equations,thin membranes.
Funding agency Grant number
Russian Science Foundation 22-11-00070
Received: 22.09.2023
Document Type: Article
UDC: 517.9, 517.4
Language: Russian
Citation: M. A. Lyalinov, “Eigenfunctions of the continuous spectrum in the problem of acoustic oscillations in a wedge-shaped domain bounded by an angular junction of two semi-infinite thin elôstic membranes”, Mathematical problems in the theory of wave propagation. Part 53, Zap. Nauchn. Sem. POMI, 521, POMI, St. Petersburg, 2023, 123–135
Citation in format AMSBIB
\Bibitem{Lya23}
\by M.~A.~Lyalinov
\paper Eigenfunctions of the continuous spectrum in the problem of acoustic oscillations in a wedge-shaped domain bounded by an angular junction of two semi-infinite thin elôstic membranes
\inbook Mathematical problems in the theory of wave propagation. Part~53
\serial Zap. Nauchn. Sem. POMI
\yr 2023
\vol 521
\pages 123--135
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7327}
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