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arxiv: 1603.04966 · v1 · pith:52BTNOLHnew · submitted 2016-03-16 · 🧮 math.AP

Remarks on derivative nonlinear Schr\"odinger systems with multiple masses

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keywords derivativemassesnonlinearodingerschrsolutionssystemsarxiv
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We prove global existence of small solutions to the initial value problem for a class of cubic derivative nonlinear Schr\"odinger systems with the masses satisfying suitable non-resonance relations. The large-time asymptotics of the solutions are also shown. This work is intended to provide a counterpart of the previous paper (arXiv:1507.07617) in which the mass resonance case was treated.

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