We consider the spectral Neumann problem for the Laplace operator in an acoustic waveguide obtained from a straight unit strip by a low box-shaped perturbation. We prove that the waveguide supports a trapped mode with an eigenvalue embedded into the continuous spectrum. The main technical difficulty is caused by corner points of the perturbed wall.

Waveguides with a box-shaped perturbation: Eigenvalues of the Neumann problem.

DURANTE, Tiziana
2017

Abstract

We consider the spectral Neumann problem for the Laplace operator in an acoustic waveguide obtained from a straight unit strip by a low box-shaped perturbation. We prove that the waveguide supports a trapped mode with an eigenvalue embedded into the continuous spectrum. The main technical difficulty is caused by corner points of the perturbed wall.
978-073541538-6
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/4703587
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