Scattering and spectral theory for Stark Hamiltonians in one dimension.
Yang Liu (1993)
Mathematica Scandinavica
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Yang Liu (1993)
Mathematica Scandinavica
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A. Martin (1974)
Recherche Coopérative sur Programme n°25
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Günter Stolz, Thomas Poerschke (1993)
Mathematische Zeitschrift
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Maciej Zworski (1996-1997)
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Michael Demuth (1982)
Banach Center Publications
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Georgi Vodev (1992)
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Anders Melin (1987)
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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.
S. Graffi, E. Harrell (1982)
Annales de l'I.H.P. Physique théorique
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