On dynamics of the system of two coupled nonlinear Schrödinger in R3

On dynamics of the system of two coupled nonlinear Schrödinger in R3

In this paper, we give a new proof of the scattering and blow‐up theory of the two coupled nonlinear Schrödinger system via establishing the corresponding interaction Morawetz estimate and scattering criterion. The method of this paper simplifies the proof in Xu, and the result of the paper improves...

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Veröffentlicht in:Mathematical methods in the applied sciences 2019-12, Vol.42 (18), p.7096-7112
Hauptverfasser: Xia, Suxia, Xu, Chengbin
Format: Artikel
Sprache:eng
Schlagworte:
blowup
coupled NLS system
Morawetz estimate
Scattering
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Beschreibung
Zusammenfassung:In this paper, we give a new proof of the scattering and blow‐up theory of the two coupled nonlinear Schrödinger system via establishing the corresponding interaction Morawetz estimate and scattering criterion. The method of this paper simplifies the proof in Xu, and the result of the paper improves the result in Xu.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.5814