Absolute Continuity of the Essential Spectrum of - ... + q (t) without Monotony of q.
Johann Walter (1972)
Mathematische Zeitschrift
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Johann Walter (1972)
Mathematische Zeitschrift
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Helmut H. Schaefer (1977)
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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.
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