On the Spectrum of Non-Compact Manifolds with Finite Volume.
Robert Brooks (1984)
Mathematische Zeitschrift
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Robert Brooks (1984)
Mathematische Zeitschrift
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Grigorios Tsagas (1978/79)
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Robert Brooks (1981)
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We consider the Laplace operator in a planar waveguide, i.e. an infinite two-dimensional straight strip of constant width, with Robin boundary conditions. We study the essential spectrum of the corresponding Laplacian when the boundary coupling function has a limit at infinity. Furthermore, we derive sufficient conditions for the existence of discrete spectrum.
Andreas M. Hinz (1987)
Mathematische Zeitschrift
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GH. Mocanu (1974)
Studia Mathematica
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