Abstract
Asymptotics are constructed and justified for the eigenvalues of the Dirichlet problem for the Laplacian in a waveguide consisting of a unit strip and a semi-infinite strip joined at a small angle ɛ ∈ (0, π/2). Some properties of the discrete spectrum are established, and open questions are stated.
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Original Russian Text © S.A. Nazarov, 2014, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2014, Vol. 54, No. 5, pp. 793–814.
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Nazarov, S.A. Asymptotics of eigenvalues of the Dirichlet problem in a skewed ℐ-shaped waveguide. Comput. Math. and Math. Phys. 54, 811–830 (2014). https://doi.org/10.1134/S0965542514050121
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DOI: https://doi.org/10.1134/S0965542514050121