On the long range scattering for Stark Hamiltonians.
A. Jensen, K. Yajima (1991)
Journal für die reine und angewandte Mathematik
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A. Jensen, K. Yajima (1991)
Journal für die reine und angewandte Mathematik
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A. Martin (1974)
Recherche Coopérative sur Programme n°25
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Plamen D. Stefanov (1991)
Mathematische Zeitschrift
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Anders Melin (1987)
Journées équations aux dérivées partielles
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Khasanov, A.B., Urazboev, G.U. (2004)
Zapiski Nauchnykh Seminarov POMI
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Günter Stolz, Thomas Poerschke (1993)
Mathematische Zeitschrift
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Plamen D. Stefanov (1989)
Mathematische Zeitschrift
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Jan-Hendrik Evertse (1992)
Journal für die reine und angewandte Mathematik
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V. Chiadò Piat, M. Codegone (2003)
RACSAM
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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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Anikonov, D.S., Konovalova, D.S. (2005)
Sibirskij Matematicheskij Zhurnal
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Anna Kazeykina (2013)
Journées Équations aux dérivées partielles
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Novikov-Veselov equation is a (2+1)-dimensional analog of the classic Korteweg-de Vries equation integrable via the inverse scattering translform for the 2-dimensional stationary Schrödinger equation. In this talk we present some recent results on existence and absence of algebraically localized solitons for the Novikov-Veselov equation as well as some results on the large time behavior of the “inverse scattering solutions” for this equation.
Georgi Vodev (1992)
Journées équations aux dérivées partielles
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Anders Melin (1991)
Journées équations aux dérivées partielles
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