Some new results in spectral and scattering theory of differential operators on
S. Agmon (1978-1979)
Séminaire Équations aux dérivées partielles (Polytechnique)
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S. Agmon (1978-1979)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Roach, Gary F.
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Günter Stolz, Thomas Poerschke (1993)
Mathematische Zeitschrift
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Arne Jensen, Tohru Ozawa (1991)
Annales de l'I.H.P. Physique théorique
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Arne Jensen (1987)
Annales de l'I.H.P. Physique théorique
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Demontis, Francesco, der Mee, Cornelis van (2010)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary: 34L25; secondary: 47A40, 81Q10. In this article we prove that the wave operators describing the direct scattering of the defocusing matrix Zakharov-Shabat system with potentials having distinct nonzero values with the same modulus at ± ∞ exist, are asymptotically complete, and lead to a unitary scattering operator. We also prove that the free Hamiltonian operator is absolutely continuous.
Mustapha Mokhtar-Kharroubi, Mohamed Chabi, Plamen Stefanov (1997)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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