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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. 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 el๔stic membranes

M. A. Lyalinov

Saint Petersburg State University

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.

UDC: 517.9, 517.4

Received: 22.09.2023



© Steklov Math. Inst. of RAS, 2025