The Leading Singularity of Scattering Kernel for a Transparent Obstacle.
Sönke Hansen (1987/88)
Mathematische Annalen
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Sönke Hansen (1987/88)
Mathematische Annalen
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Vesselin M. Petkov, Luchezar N. Stoyanov (1987)
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Georgi Vodev (1992)
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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.
Pl. Muthuramalingam (1984/85)
Mathematische Zeitschrift
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