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- W2317542947 abstract "Abstract. The spectrum of the Dirichlet problem for Laplace operator is studied in three terminal tubes. The cross-section of the tubes is either a circle or a square. We show that these Y-shaped waveguides always have at least one eigenvalue in the discrete spectrum. In the regular case, that is, the angle between the cylinders is 2 3 π, there exists exactly one eigenvalue in the discrete spectrum. While the angle 2α between the arms is varying, we show that the number of the bound states remains to be one for α ∈ (" @default.
- W2317542947 created "2016-06-24" @default.
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- W2317542947 date "2015-01-01" @default.
- W2317542947 modified "2023-10-02" @default.
- W2317542947 title "The bound states of 3D Y-junction waveguides" @default.
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- W2317542947 doi "https://doi.org/10.5186/aasfm.2015.4023" @default.
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