We prove that symmetric finite energy solutions close to orbitally stable ground states converge to a sum of a ground state and a dispersive wave as t -> infinity assuming the so called the Fermi Golden Rule (FGR) hypothesis. We improve the "sign condition" required in a recent paper by Gang Zhou and I. M. Sigal.
On asymptotic stability in energy space of ground states for nonlinear Schrödinger equations
Cuccagna, Scipio
;
2008-01-01
Abstract
We prove that symmetric finite energy solutions close to orbitally stable ground states converge to a sum of a ground state and a dispersive wave as t -> infinity assuming the so called the Fermi Golden Rule (FGR) hypothesis. We improve the "sign condition" required in a recent paper by Gang Zhou and I. M. Sigal.File in questo prodotto:
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