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arXiv · 0711.4195

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

Scipio Cuccagna·Tetsu Mizumachi
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Abstract

We consider nonlinear Schrödinger 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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Scipio Cuccagna, Tetsu Mizumachi. 2008-06-09. On asymptotic stability in energy space of ground states for Nonlinear Schrödinger equations. https://doi.org/10.1007/s00220-008-0605-3

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