An application of the method of spectral functions to the problem of scattering by two wedges.
Kamotskiĭ, V. V. (2005)
Zapiski Nauchnykh Seminarov POMI
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Kamotskiĭ, V. V. (2005)
Zapiski Nauchnykh Seminarov POMI
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In this paper, we consider a family of scattering problems in perforated unbounded domains Ω. We assume that the perforation is contained in a bounded region and that the holes have a ?critical? size. We study the asymptotic behaviour of the outgoing solutions of the steady-state scattering problem and we prove that an extra term appears in the limit equation. Finally, we obtain convergence results for scattering frequencies and solutions.