On a Class of non Linear Schrödinger Equations with non Local Interaction.
Jean Ginibre, Giorgio Velo (1980)
Mathematische Zeitschrift
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Jean Ginibre, Giorgio Velo (1980)
Mathematische Zeitschrift
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Alexandrova, Ivana, Bony, Jean-François, Ramond, Thierry (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 35P25, 81U20, 35S30, 47A10, 35B38. We study the microlocal structure of the resolvent of the semiclassical Schrödinger operator with short range potential at an energy which is a unique non-degenerate global maximum of the potential. We prove that it is a semiclassical Fourier integral operator quantizing the incoming and outgoing Lagrangian submanifolds associated to the fixed hyperbolic point. We then discuss two applications of...
Yafaev, D. (1998)
Documenta Mathematica
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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.
Günter Stolz, Thomas Poerschke (1993)
Mathematische Zeitschrift
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Pl. Muthuramalingam (1984/85)
Mathematische Zeitschrift
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Hans L. Cycon (1983)
Annales de l'I.H.P. Physique théorique
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D. R. Yafaev (1986)
Annales de l'I.H.P. Physique théorique
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Nakao Hayashi, Yoshio Tsutsumi (1987)
Annales de l'I.H.P. Physique théorique
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