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Scattering on a resonator with a small opening

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Publication:797817
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DOI10.1007/BF01474151zbMath0546.47003MaRDI QIDQ797817

M. D. Faddeev, B. S. Pavlov

Publication date: 1984

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)


zbMATH Keywords

self-adjoint extensionsasymptotic formulas for the resonancesresonances of the wave equation


Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Wave equation (35L05) Diffraction, scattering (78A45) General theory of partial differential operators (47F05) Scattering theory of linear operators (47A40) Linear accretive operators, dissipative operators, etc. (47B44)


Related Items (2)

Uniqueness theorems for analytic operator-valued functions with nonnegative imaginary part ⋮ Justification of the model of cracks of zero width for the Dirichlet problem



Cites Work

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  • Decomposition of series of resonances on a 'nonphysical' sheet
  • One dimensional perturbations of restricted shifts


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