A revision of "On asymptotic stability in energy space of ground states of NLS in 1D"
classification
🧮 math.AP
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groundasymptoticmizumachistabilitystatesapplicationcuccagnadimension
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We transpose work by T.Mizumachi to prove smoothing estimates for dispersive solutions of the linearization at a ground state of a Nonlinear Schr\"odinger equation (NLS) in 1D. As an application we extend to dimension 1D a result on asymptotic stability of ground states of NLS proved by Cuccagna & Mizumachi for dimensions $\ge 3$
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