On regular and singular perturbations of acoustic and quantum waveguides
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🧮 math-ph
math.MP
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perturbationsregularsingularacousticasymptoticsboundaryconsidercylinders
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We consider regular and singular perturbations of the Dirichlet and Neumann boundary value problems for the Helmholtz equation in $n$-dimensional cylinders. Existence of eigenvalues and their asymptotics are studied.
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