Uniqueness of the Multi-Dimensional Inverse Scattering Problem for Time Dependent Potentials.
Plamen D. Stefanov (1989)
Mathematische Zeitschrift
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Plamen D. Stefanov (1989)
Mathematische Zeitschrift
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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.
A.G. Ramm (1991)
Journal für die reine und angewandte Mathematik
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Plamen D. Stefanov (1991)
Mathematische Zeitschrift
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M. Jaulent (1972)
Annales de l'I.H.P. Physique théorique
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A. Martin (1974)
Recherche Coopérative sur Programme n°25
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Gregory Eskin, James Ralston (1993)
Journées équations aux dérivées partielles
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R.G. Novikov (2014-2015)
Séminaire Laurent Schwartz — EDP et applications
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We report on non-uniqueness, uniqueness and reconstruction results in quantum mechanical and acoustic inverse scattering without phase information. We are motivated by recent and very essential progress in this domain.
Anders Melin (1987)
Journées équations aux dérivées partielles
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Anders Melin (1991)
Journées équations aux dérivées partielles
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