Instability of bound states for abstract nonlinear Schrödinger equations

Mathematics – Analysis of PDEs

Scientific paper

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25 pages. Revisions are made mainly in Sections 1 and 8. Theorems 3-5 are renamed as Corollaries 2-4

Scientific paper

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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