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arxiv: 1007.3656 · v1 · pith:BLLX7MY4new · submitted 2010-07-21 · 🧮 math-ph · math.MP· math.SP

On the spectrum of a waveguide with periodic cracks

classification 🧮 math-ph math.MPmath.SP
keywords cracksperiodicassumptionasymptoticcalculateddispersiondomainform
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The spectral problem on a periodic domain with cracks is studied. An asymptotic form of dispersion relations is calculated under assumption that the opening of the cracks is small.

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