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arXiv:0711.4195 [math.AP]AbstractReferencesReviewsResources

On asymptotic stability in energy space of ground states for Nonlinear Schrödinger equations

Scipio Cuccagna, Tetsu Mizumachi

Published 2007-11-27, updated 2008-06-09Version 2

We consider nonlinear Schr\"odinger equations in dimension 3 or higher. We prove that symmetric finite energy solutions close to orbitally stable ground states converge asymptotically to a sum of a ground state and a dispersive wave assuming the so called Fermi Golden Rule (FGR) hypothesis. We improve the sign condition required in a recent paper by Gang Zhou and I.M.Sigal

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