On regular and singular perturbations of acoustic and quantum waveguides

Details On regular and singular perturbations of acoustic and quantum waveguides On regular and singular perturbations of acoustic and quantum waveguides

2004-02-16

arxiv.org/abs/math-ph/0402039v2

Physics

Mathematical Physics

Scientific paper

10.1016/j.crme.2004.03.010

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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