Some remarks on eigenfunction expansions for Schrödinger operators with non-local potentials.
Arne Jensen (1977)
Mathematica Scandinavica
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Arne Jensen (1977)
Mathematica Scandinavica
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Mejjaoli, H. (2009)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 35Q55,42B10. In this paper, we study the Schrödinger equation associated with the Dunkl operators, we study the dispersive phenomena and we prove the Strichartz estimates for this equation. Some applications are discussed.
Cardoso, Fernando, Cuevas, Claudio, Vodev, Georgi (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 35L15, 35B40, 47F05. Introduction and statement of results. In the present paper we will be interested in studying the decay properties of the Schrödinger group. The authors have been supported by the agreement Brazil-France in Mathematics – Proc. 69.0014/01-5. The first two authors have also been partially supported by the CNPq-Brazil.
Don A. Mattson (1974)
Mathematica Scandinavica
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Frank Forelli (1972)
Mathematica Scandinavica
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Yang Liu (1991)
Mathematica Scandinavica
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Changxing Miao, Youbin Zhu (2006)
Annales Polonici Mathematici
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We consider the Cauchy problem for a generalized Klein-Gordon-Schrödinger system with Yukawa coupling. We prove the existence of global weak solutions by the compactness method and, through a special choice of the admissible pairs to match two types of equations, we prove the uniqueness of those solutions by an approach similar to the method presented by J. Ginibre and G. Velo for the pure Klein-Gordon equation or pure Schrödinger equation. Though it is very simple in form, the method...
P.J. de Paepe (1978)
Mathematica Scandinavica
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Giuseppe Maria Coclite (2002)
Annales Polonici Mathematici
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We prove the existence of a sequence of radial solutions with negative energy of the Schrödinger-Maxwell equations under the action of a negative potential.
Arne Persson (1960)
Mathematica Scandinavica
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Nakao Hayashi, Tohru Ozawa (1988/89)
Mathematische Zeitschrift
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Arne Jensen (1986)
Mathematische Zeitschrift
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M.H.H. Pang (1990)
Semigroup forum
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A.M. Hinz, H. Kalf (1990)
Journal für die reine und angewandte Mathematik
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S. A. Denisov (2010)
Mathematical Modelling of Natural Phenomena
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In this short note, we apply the technique developed in [Math. Model. Nat. Phenom., 5 (2010), No. 4, 122-149] to study the long-time evolution for Schrödinger equation with slowly decaying potential.
Ulf Backlund, Leif Persson (1998)
Mathematica Scandinavica
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