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

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

2007-11-27

arxiv.org/abs/0711.4195v2

Mathematics

Analysis of PDEs

Scientific paper

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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