A scattering theory for automorphic functions
P. D. Lax, R. S. Phillips (1973-1974)
Séminaire Équations aux dérivées partielles (Polytechnique)
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A scattering theory for automorphic functions
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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.