Displaying similar documents to “On eigenfunction expansions and scattering theory.”

Scattering problems in a domain with small holes.

V. Chiadò Piat, M. Codegone (2003)

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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.