On Asymptotic Stability in Energy Space of Ground States of Nls in 1d
نویسنده
چکیده
We transpose work by T.Mizumachi to prove smoothing estimates for dispersive solutions of the linearization at a ground state of a Nonlinear Schrödinger 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 ≥ 3. §
منابع مشابه
A Revision of ”on Asymptotic Stability in Energy Space of Ground States of Nls in 1d”
This is a revision of the author’s paper ”On asymptotic stability in energy space of ground states of NLS in 1D” [C3]. We correct an error in Lemma 5.4 [C3] and we simplify the smoothing argument. §
متن کاملON ASYMPTOTIC STABILITY IN ENERGY SPACE OF GROUND STATES OF NLS IN 2D Scipio Cuccagna and Mirko Tarulli
We transpose work by K.Yajima and by T.Mizumachi to prove dispersive and smoothing estimates for dispersive solutions of the linearization at a ground state of a Nonlinear Schrödinger equation (NLS) in 2D. As an application we extend to dimension 2D a result on asymptotic stability of ground states of NLS proved in the literature for all dimensions different from 2. §
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