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arxiv: 1010.1511 · v2 · pith:OGSE6UE7new · submitted 2010-10-07 · 🧮 math.AP

Instability of bound states for abstract nonlinear Schr\"{o}dinger equations

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keywords instabilityabstractbounddingerequationsnonlinearschrstates
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We study the instability of bound states for abstract nonlinear Schr\"{o}dinger equations. We prove a new instability result for a borderline case between stability and instability. We also reprove some known results in a unified way.

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