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arxiv: 1309.4878 · v1 · pith:A7QGZ7XAnew · submitted 2013-09-19 · 🧮 math.AP

On weak interaction between a ground state and a non-trapping potential

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keywords groundpotentialspeedstateasymptoticallyeitherinteractionlarge
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We show that ground states of the NLS moving at nonzero speed are asymptotically stable if they either stay far from the potential, or the potential is small, or the ground state has large speed.

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