Local decay estimates for Schrödinger operators with long range potentials
T. Ozawa (1994)
Annales de l'I.H.P. Physique théorique
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T. Ozawa (1994)
Annales de l'I.H.P. Physique théorique
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Hans L. Cycon, Perry Peter A. (1984/85)
Mathematische Zeitschrift
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Nakao Hayashi, Keiichi Kato, Pavel I. Naumkin (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Mejjaoli, Hatem (2011)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary 42A38. Secondary 42B10. The purpose of this paper is to study the dispersive properties of the solutions of the Dunkl-Schrödinger equation and their perturbations with potential. Furthermore, we consider a few applications of these results to the corresponding nonlinear Cauchy problems.
Nakao Hayashi, Pavel I. Naumkin (1998)
Annales de l'I.H.P. Physique théorique
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Yannick Gâtel, Dimitri Yafaev (1999)
Annales de l'institut Fourier
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We consider the homogeneous Schrödinger equation with a long-range potential and show that its solutions satisfying some a priori bound at infinity can asymptotically be expressed as a sum of incoming and outgoing distorted spherical waves. Coefficients of these waves are related by the scattering matrix. This generalizes a similar result obtained earlier in the short-range case.
Peter D. Hislop, Shu Nakamura (1989)
Annales de l'I.H.P. Physique théorique
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