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arxiv: 0905.4618 · v2 · submitted 2009-05-28 · 🧮 math.AP

Energy convexity estimates for non-degenerate ground states of nonlinear 1D Schr\"odinger systems

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keywords groundnon-degeneratenonlinearodingerschrsystemsassociatedbyproduct
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We study the spectral structure of the complex linearized operator for a class of nonlinear Schr\"odinger systems, obtaining as byproduct some interesting properties of non-degenerate ground state of the associated elliptic system, such as being isolated and orbitally stable.

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